VCC Prealgebra Exam Information
Time limit: 1 hour 45 minutes.
Calculator: May NOT be used.
Formulas: Will NOT be provided.
Students should know the following information:
· Perimeter and area of a square, rectangle, triangle.
· Volume of a rectangular solid.
· Distance = Rate · Time.
· Interest = Principal · Rate · Time.
Exam will be given in class during the last week of the term.
Do you have any questions about the exam? Ask Mr. Groccia at 2-206 or e-mail at agroccia@valenciacollege.edu or call 321-697-4182.
The following review is a list of the type of questions that will be on the state test.
It is not a list of the exact questions.
Problem number vs Topic
More practice: http://east.valencia.cc.fl.us/math/vcc/vccmath.htm
1, 2, 3. Find the perimeter or area of a square, rectangle, or triangle.
4. Find the volume of a rectangular solid.
5, 6, 7. Simplify a numeric expression using order of operations with integers.
8, 9. Simplify a numeric expression with absolute value and integers.
10. Simplify an algebraic expression with integers.
11. Simplify an algebraic expression with fractions.
12. Simplify an algebraic expression with decimals.
13. Evaluate an algebraic expression with integers.
14. Evaluate an algebraic expression with fractions.
15. Evaluate an algebraic expression with decimals.
16,17,18.Solve an equation with integers.
19, 20. Solve an equation with fractions.
21, 22. Solve an equation with decimals.
23. Solve a formula for a variable with assigned values for other variables.
24, 25. Translate a real world word problem using percentages.
26. Translate a real world word problem without percentages.
27. Multiply a monomial with a binomial.
28. Multiply a monomial with a trinomial.
29. Multiply a monomial with a binomial.
30. Multiply a binomial with a binomial using integers.
31. Multiply a binomial with a binomial using fractions.
32. Multiply a binomial with a binomial using decimals.
33. Add polynomials.
34. Subtract polynomials.
35. Add and subtract polynomials.
Suggestions:
Before opening the exam, write down any information that you feel might cause you to make an error on the exam. (Data Dump) Then during the exam you can refer back to this information as a reminder.
Work all the problems. Guess, if necessary.
Do all rechecking on a clean sheet of scrap paper.
VCC PreAlgebra Exam Practice: 8/2004
1A. What is the perimeter of a square that is 7 inches on each side?
a) 49 inches b) 49 sq. inches c) 28 inches d) 28 sq. inches
1B. What is the perimeter of a square that is 3 feet on each side?
a) 12 feet b) 12 sq. feet c) 9 feet d) 9 sq. feet
1C. What is the perimeter of a rectangle that has a length of 8 cm and a width of 5 cm?
a) 40 sq. cm b) 40 cm c) 26 cm d) 26 sq. cm
1D. What is the perimeter of a rectangle that has a length of 13 inches and a width of 4 inches?
a) 34 sq. inches b) 34 inches c) 52 sq. inches d) 52 inches
1E. What is the perimeter of a triangle that has one side with a length of 5 inches, a second side of 8 inches, and a third side of 10 inches?
a) 23 inches b) 46 inches c) 23 sq. inches d) 46 sq. inches
1F. What is the perimeter of a triangle that has one side with a length of 6 cm, a second side of 9 cm, and a third side of 15 cm?
a) 30 sq. cm b) 60 cm c) 30 cm d) 60 sq. cm
2A. What is the area of a rectangle that has a length of 6 feet and a width of 4 feet?
a) 24 sq. feet b) 20 sq. feet c) 20 feet d) 24 feet
2B. What is the area of a rectangle that has a length of 9 meters and a width of 7 meters?
a) 63 meters b) 63 sq. meters c) 32 sq. meters d) 32 meters
2C. What is the area of a rectangle that has a length of 13 inches and a width of 5 inches?
a) 36 inches b) 36 sq. inches c) 65 sq. inches d) 65 inches
2D. What is the area of a square that has a side length of 11 inches?
a) 44 sq. inches b) 44 inches c) 121 inches d) 121 sq. inches
2E. What is the area of a square that has a side length of 12 centimeters?
a) 48 cm b) 48 sq. cm c) 144 sq. cm d) 144 cm
2F. What is the area of a square that has a side length of 13 feet?
a) 169 sq. feet b) 52 sq. feet c) 169 feet d) 52 feet
3A. What is the area of a triangle that has a base of 5 inches and a height of 8 inches?
a) 20 inches b) 40 inches c) 20 sq. inches d) 40 sq. inches
3B. What is the area of a triangle that has a base of 8 centimeters and a height of 7 centimeters?
a) 56 sq. cm b) 28 cm c) 28 sq. cm d) 56 cm
3C. What is the area of a triangle that has a base of 9 feet and a height of 10 feet?
a) 90 feet b) 45 sq. feet c) 45 feet d) 90 sq. feet
3D. What is the area of a triangle that has a base of 6 meters and a height of 8 meters?
a) 24 sq. meters b) 48 sq. meters c) 48 meters d) 24 meters
3E. What is the area of a triangle that has a base of 2 yards and a height of 3 yards?
a) 6 yards b) 3 yards c) 6 sq. yards d) 3 sq. yards
3F. What is the area of a triangle that has a base of 20 inches and a height of 11 inches?
a) 220 sq. inches b) 110 sq. inches c) 110 inches d) 220 inches
4A. What is the volume of a rectangular box that has a length of 6 inches, a width of 9 inches, and a height of 4 inches?
a) 216 inches b) 216 sq. inches c) 216 cu. inches d) 19 inches
4B. What is the volume of a cube that measures 7 feet on each side?
a) 343 cu. feet b) 343 sq. feet c)343 feet d) 21 feet
4C. What is the volume of a rectangular box that has a length of 10 centimeters, a width of 8 centimeters, and a height of 5 centimeters?
a) 400 sq. cm b) 23 cm c) 400 cm d) 400 cu. cm
4D. What is the volume of a cube that measures 8 inches on each side?
a) 512 inches b) 512 sq. inches c) 24 inches d) 512 cu. inches
4E. What is the volume of a rectangular box that has a length of 9 feet, a width of 10 feet, and a height of 7 feet?
a) 630 feet b) 630 cu. feet c) 630 sq. feet d) 26 feet
4F. What is the volume of a cube that measures 11 meters on each side?
a) 1331 meters b) 44 meters c) 1331 cu. meters d) 1331 sq. meters
5A. Use order of operations to simplify:
a) 5 b) 2 c) -3 d) -6
5B. Use order of operations to simplify:
a) 22 b) 20 c) 5 d) 7
5C. Use order of operations to simplify:
a) 9 b) 24 c) 36 d) 6
5D. Use order of operations to simplify:
a) 997 b) 27 c) 3 d) 5
5E. Use order of operations to simplify:
a) 80 b) 8 c) 60 d) 6
5F. Use order of operations to simplify:
a) 188 b) 12 c) 92 d) 20
6A. Use order of operations to simplify:
a) 3 b) -27 c) 1 d) -47
6B. Use order of operations to simplify:
a) 4 b) -16 c) 22 d) 34
6C. Use order of operations to simplify:
a) -10 b) -14 c) 26 d) 44
6D. Use order of operations to simplify:
a) 21 b) 5 c) 19 d) -1
6E. Use order of operations to simplify:
a) 11 b) -7 c) 7 d) -3
6F. Use order of operations to simplify:
a) 15 b) -9 c) 23 d) -11
7A. Use order of operations to simplify:
a) 6 b) -54 c) 54 d) 42
7B. Use order of operations to simplify:
a) -2 b) 18 c) 12 d)-8
7C. Use order of operations to simplify:
a) -10 b) -30 c) -4 d) -1
7D. Use order of operations to simplify:
a) 60 b) -24 c) 8 d) -4
7E. Use order of operations to simplify:
a) 13 b) 1 c) -5 d) 19
7F. Use order of operations to simplify:
a) 42 b) -26 c) -8 d) 10
8A. Simplify:
a) 12 b) -12 c) 2 d) 35
8B. Simplify:
a) -5 b) 9 c) -9 d) 5
8C. Simplify:
a) -13 b) -5 c) 5 d) 13
8D. Simplify:
a) -17 b) -3 c) 17 d) 3
8E. Simplify:
a) -7 b) 7 c) -11 d) 11
8F. Simplify:
a) -10 b) 4 c) -4 d) 10
9A. Simplify:
a) -1 b) 5 c) -7 d) 1
9B. Simplify:
a) -5 b) 13 c) -1 d) 9
9C. Simplify:
a) -2 b) -4 c) -8 d) -10
9D. Simplify:
a) -3 b) -1 c) 9 d) 13
9E. Simplify:
a) -5 b) 9 c) -17 d) 21
9F. Simplify:
a) -11 b) 9 c) -17 d) 3
10A. Simplify:
a) b) c) d)
10B. Simplify:
a) b) c) d)
10C. Simplify:
a) b) c) d)
10D. Simplify:
a) b) c) d)
10E. Simplify:
a) b) c) d)
10F. Simplify:
a) b) c) d)
11A. Simplify:
a) b) c) d)
11B. Simplify:
a) b) c) d)
11C. Simplify:
a) b) c) d)
11D. Simplify:
a) b) c) d)
11E. Simplify:
a) b) c) d)
11F. Simplify:
a) b) c) d)
12A. Simplify:
a) b) d) c) d)
12B. Simplify:
a) b) c) d)
12C. Simplify:
a) b) c) d)
12D. Simplify:
a) b) c) d)
12E. Simplify:
a) b) c) d)
12F. Simplify:
a) b) c) d)
13A. Evaluate the following expression for x = -4 and y = 3:
a) -28 b) 28 c) -4 d) 4
13B. Evaluate the following expression for x = -5 and y = -2:
a) 65 b) -65 c) -85 d) 77
13C. Evaluate the following expression for x = -4 and y = -3:
a) 4 b) 20 c) -4 d) -20
13D. Evaluate the following expression for x = -4 and y = -2:
a) 24 b) 12 c) -12 d) -24
13E. Evaluate the following expression for x = 3 and y = -4:
a) -2 b) 14 c) -7 d) 25
13F. Evaluate the following expression for x = 2 and y = -4:
a) 12 b) -4 c) -12 d) 4
14A. Evaluate the following expression for x = 1/2 and y = 2/3:
a) 1/12 b) 7/24 c) 1/24 d) 1/4
14B. Evaluate the following expression for x = 1/2 and y = 3/4:
a) 15/64 b) 3/4 c) 3/8 d) 3/64
14C. Evaluate the following expression for x = 2/3 and y = 1/2:
a) 7/36 b) 4/3 c) 3/5 d) 1/9
14D. Evaluate the following expression for x = 3/4 and y = 1/4:
a) 2 b) 5/4 c) 7/8 d) 11/4
14E. Evaluate the following expression for x = 2/3 and y = 1/2:
a) 7/36 b) 1/3 c) 3/5 d) 2
14F. Evaluate the following expression for x = 1/2 and y = 2/3:
a) 11/18 b) 67/36 c) 19/36 d) 5/6
15A. Evaluate the following expression for x = 2.4 and y = 0.3:
a) 1.272 b) 1.56 c) 5.5 d) 14.28
15B. Evaluate the following expression for x = 0.2 and y = 3.4:
a) 223.2 b) 1.512 c) 0.56 d) 2.304
15C. Evaluate the following expression for x = 2.3 and y = 0.14:
a) 5.4 b) 9.632 c) 9.288 d) 5.6
15D. Evaluate the following expression for x = 0.8 and y = 1.6:
a) 0.704 b) 0.96 c) 9.92 d) 7.04
15E. Evaluate the following expression for x = 1.2 and y = 0.4:
a) 18 b) 11.1 c) 1.08 d) 10.8
15F. Evaluate the following expression for x = 1.5 and y = 0.6:
a) 0.01323 b) 13.23 c) 1.323 d) 1.26
16A. Solve for y:
a) y = 11/3 b) y = 1 c) y = -1 d) y = -11/3
16B. Solve for y:
a) y = -9/2 b) y = 13 c) y = -2 d) y = 2
16C. Solve for x:
a) x = 3 b) x = 10 c) x = 15/11 d) x = -3
16D. Solve for z:
a) z = 2 b) z = -2 c) z = -13/2 d) z = 17/5
16E. Solve for y:
a) y = 4 b) y = 1/4 c) y = -6 d) y = 6
16F. Solve for x:
a) x = 5/3 b) x = 5 c) x = -20 d) x = -5
17A. Solve for x:
a) x = –4/3 b) x = –2/3 c) x = –4/5 d) x = -2/5
17B. Solve for x:
a) x = 1/2 b) x = -1/2 c) x = -3 d) x = 3
17C. Solve for y:
a) y = 1 b) y = 5 c) y = 3/7 d) y = -11
17D. Solve for z:
a) z = 3 b) z = 6 c) z = -6 d) z = 2
17E. Solve for y:
a) y = 2 b) y = -4/3 c) y = 0 d) undefined
17F. Solve for z:
a) z = -3 b) z = -4/3 c) z = 1 d) z = -4
18A. Solve for x:
a) x = 1/2 b) x = 13/2 c) x = 17/2 d) x = 3
18B. Solve for x:
a) x = 17/3 b) x = 7/9 c) x = 17/9 d) x = 7/3
18C. Solve for x:
a) x = 19/2 b) x = 11/2 c) x = 1/2 d) x = 11/38
18D. Solve for x:
a) x = 11/6 b) x = -19/34 c) x = -11/6 d) x = 19/34
18E. Solve for x:
a) x = 22/3 b) x = 34/3 c) x = 22/17 d) x = 2
18F. Solve for x:
a) x = 14/11 b) x = 16/11 c) x = 16/5 d) x = 14/5
19A. Solve for z:
a) z = 1/15 b) z = 3 c) z = 5/8 d) z = 19/15
19B. Solve for x:
a) x = 1/10 b) x = 9/10 c) x = 3/7 d) x = 1/3
19C. Solve for y:
a) y = 20/9 b) y = -2 c) y = 11/12 d) y = 29/12
19D. Solve for z:
a) z = 37/20 b) z = 13/20 c) z = 25/12 d) z = 3/4
19E. Solve for x:
a) x = 8/15 b) x = 3/10 c) x = -14/15 d) x = 26/15
19F. Solve for z:
a) z = 5/4 b) z = 5/9 c) z = 7/3 d) z = -2/3
20A. Solve for y:
a) y = 4/5 b) y = 2/5 c) y = 3/25 d) y = 3
20B. Solve for z:
a) z = -11/15 b) z = 29/15 c) z = 4/5 d) z = 9/20
20C. Solve for x:
a) z = 3/14 b) z = 8/21 c) z = -13/28 d) z = 29/28
20D. Solve for y:
a) z = 5/6 b) z = 15/8 c) z = 23/12 d) z = 7/12
20E. Solve for x:
a) z = 7/6 b) z = 8 c) z = 2/9 d) z = 3/2
20F. Solve for z:
a) z = -22/35 b) z = 62/35 c) z = 24/35 d) z = 10/21
21A. Solve for x:
a) 0.904 b) -2.66 c) -5.65 d) 2.6
21B. Solve for y:
a) -7.2 b) 16.8 c) 25.44 d) 0.288
21C. Solve for z:
a) 0.2596 b) 649 c) 0.0356 d) -89
21D. Solve for x:
a) -20.1 b) 45.9 c) -9.849 d) -46.9
21E. Solve for y:
a) 48.9 b) 47.7 c) 80.5 d) -120.75
21F. Solve for z:
a) 20.5 b) 8.45 c) 10.5625 d) -50.25
22A. Solve for x:
a) 2.484 b) 1.725 c) 0.87 d) 3.27
22B. Solve for y:
a) 1.77 b) 1.53 c) 13.75 d) 0.198
22C. Solve for z:
a) 25.4375 b) 0.6512 c) 3.91 d) 4.23
22D. Solve for x:
a) 5.72 b) 5.88 c) 72.5 d) 0.464
22E. Solve for y:
a) 4.3 b) 8.428 c) 7.42 d) 4.62
22F. Solve for z:
a) 0.02448 b) 170 c) 2.028 d) 2.052
23A. The formula for the perimeter of a rectangle is: P = 2L + 2W
Solve for ‘L’ when P = 30 and W = 6.
a) L = 36 b) L = 21 c) L = 9 d) L = 2
23B. The formula for the perimeter of a rectangle is: P = 2L + 2W
Solve for ‘W’ when P = 23 and L = 7.
a) W = 4.5 b) W = 2 c) W = 18.5 d) W = 18
23C. The formula for the area of a triangle is:
Solve for ‘b’ when A = 17 and h = 8.
a) b = 26 b) b = 2.375 c) b = 4.25 d) b = 68
23D. The formula for the area of a triangle is:
Solve for ‘h’ when A = 23 and b = 4.
a) h = 52 b) h = 40 c) h = 11.5 d) h = 69
23E. The formula for the volume of a rectangular box is: V = LWH
Solve for ‘W’ when V =162, L = 4, and H = 3.
a) W = 1944 b) W = 13.5 c) W = 162 d) W = 121.5
23F. The formula for the volume of a rectangular box is: V = LWH
Solve for ‘H’ when V =174, L = 2, and W = 6.
a) H = 2088 b) H = 14.5 c) H = 43.5 d) H = 162
24A. Nashali found a dress she really liked that originally sold for $78. The dress was discounted 30%. Using ‘P’ as the amount she will have to pay for the dress (excluding sales tax), write an algebraic equation that describes this transaction.
a) P = (0.30)(78) b) P = 78 ¸ 0.30
c) P = 78 ¸ 0.70 d) P = 78 – (0.30)(78)
24B. At Target Richard found a CD player that originally sold for $148. A sign indicated that the player was discounted 45%. Using ‘P’ as the amount he will have to pay for the CD player (excluding sales tax), write an algebraic equation that describes this transaction.
a) P = (0.45)(148) b) P = 148 – (0.45)(148)
c) P = 148 ¸ 0.45 d) P = 148 ¸ 0.55
24C. Maria bought a pair of slacks that originally sold for $60. A sign indicated that the slacks were discounted 60%. Using ‘P’ as the amount she will have to pay for the slacks (excluding sales tax), write an algebraic equation that describes this transaction..
a) P = 60 – (0.60)(60) b) P = 60 + (0.60)(60)
c) P = (0.60)(60) d) P = 60 ¸ (0.60)
24D. Best Buy is selling a television for $1250.00. Sales tax in Orange County is 6%. Using ‘P’ as the amount I will have to pay for the television (including sales tax), write an algebraic equation that describes this transaction.
a) P = (0.06)(1250) b) P = 1250 ¸ 0.06
c) P = 1250 + (0.06)(1250) d) P = 1250(0.94)
24E. My car cost $7500.00. Sales tax on the car is 8%. Using ‘P’ to represent the total amount paid for the car (including sales tax), write an algebraic equation that describes this transaction.
a) P = 7500 ¸ (0.08) b) P = 7500 + (7500)(0.08)
c) P = (0.08)(7500) d) P = 7500(0.92)
24F. The Rug King is selling silk rugs for $2350. Sales tax in Seminole County is 7%. Using ‘P’ as the amount you will have to pay for the rug (including sales tax), write an algebraic equation that describes this transaction.
a) P = 2350 ¸ 0.07 b) P = (0.07)(2350)
c) P = 2350(0.93) d) P = 2350 + (0.07)(2350)
25A. Richard put $550 into his savings account, which pays 4% per year simple interest and left it there for 3 years. Using ‘A’ as the total amount that will be in the bank at the end of the 3 years, write an algebraic equation that describes this transaction.
a) A = (550)(0.04)(3) b) A = 550 + (0.04)(3)
c) A = 550 + (550)(0.04)(3) d) A = 550 – 550(0.04)(3)
25B. Mandy put $2500 into her savings account, which pays 3% per year simple interest and left it there for 4 years. Using ‘A’ as the total amount that will be in the bank at the end of the 4 years, write an algebraic equation that describes this transaction.
a) A = 2500(0.03)(4) b) A = 2500 + (0.03)(4)
c) A = 2500 – 2500(0.03)(4) d) A = 2500 + 2500(0.03)(4)
25C. Jeremy put $1200 into his savings account, which pays 5% per year simple interest and left it there for 2 years. Using ‘A’ as the total amount that will be in the bank at the end of the 2 years, write an algebraic equation that describes this transaction.
a) A = 1200 + 1200(0.05)(2) b) A = 1200(0.05)(2)
c) A = 1200 – 1200(0.05)(2) d) A = 1200 + (0.05)(2)
25D. Juan took Brooke out for dinner at the Outback. The bill was $40.00. Juan left a 15% tip. Using ‘T’ as the total of the bill and the tip, write an algebraic equation that describes this transaction.
a) T = 40(0.15) b) T = 40 ¸ 0.15
c) T = 40 + 40(0.15) d) T = 40 – 40(0.15)
25E. Susan and Brian went out for dinner at Olive Garden. The bill was $35. Susan left a 20% tip. Using ‘T’ as the total of the bill and the tip, write an algebraic equation that describes this transaction.
a) T = 35 + 35(0.20) b) T = 35(0.20)
c) T = 35 ¸ (0.20) d) T = 35 – 35(0.20)
25F. Donald and Rose went out for dinner at Disney. The bill was $130. Donald, a big spender, left a 25% tip. Using ‘T’ as the total of the bill and the tip, write an algebraic equation that describes this transaction.
a) T = 130(0.25) b) T = 130 + 130(0.25)
c) T = 130 – 130(0.25) d) T = 130 ¸ 0.25
26A. Jon decided to rent an apartment with three other friends. Jon agreed to pay the security deposit of $150 in addition to his share of the first month’s rent. All four of them agreed to contribute equally toward the monthly rent. Using ‘R’ as the total rent due each month, translate this problem into an algebraic expression that will show how much Jon will pay for the first month.
a) 4R + 150 b) c) d) R + 150
26B. Alfred decided to rent an apartment with two other friends, Alfred agreed to pay the security deposit of $125 in addition to his share of the first month’s rent. All three of them agreed to contribute equally toward the monthly rent. Using ‘R’ as the total rent due each month, translate this problem into an algebraic expression that will show how much Alfred will pay for the first month.
a) b) c) d)
26C. When Marcie bought her car, she gave the dealership $500 as a down payment. Her monthly payments will be $225. Using ‘M’ as the number of months needed to pay off the car, translate this problem into an algebraic expression that will show how much Marcie will pay for the car.
a) b) c) d)
26D. When Xiao bought his car, he gave the dealership $1500 as a down payment. He will pay off his car after 48 months. Using ‘M’ as the monthly payment, translate this problem into an algebraic expression that will show how much Xiao will pay for the car.
a) b) c) d)
26E. Keisha is investing her money in an IRA. Initially she will be putting in $775. Using ‘C’ as the additional amount invested each month, translate this problem into an algebraic expression that will show how much Keisha invested for the entire year.
a) b) c) d)
26F. Gretchen is investing her money in an IRA. Each month she will contribute $200. Using ‘V’ as the amount initially invested, translate this problem into an algebraic expression that will show how much Gretchen invested for the entire year.
a) b) c) d)
27A. Multiply and simplify where possible:
a) 20x2 – 2 b) 20x – 8 c) 12x d) 20x2 – 8x
27B. Multiply and simplify where possible:
a) 21y – 15 b) 9y + 2 c) 21y2 – 15y d) 7y
27C. Multiply and simplify where possible:
a) 40xz – 15 b) 40xz – 15x c) 13xz + 2 d) 25xz
27D. Multiply and simplify where possible:
a) 6yz – 14y b) 6yz – 14 c) 5yz – 5 d) -8yz
27E. Multiply and simplify where possible:
a) 14 – 6x b) 14x + 6x2 c) 9x + 5x2 d) 20x
27F. Multiply and simplify where possible:
a) 45xy b) 14xy c) 25x + 20xy d) 10x + 9xy
28A. Multiply and simplify where possible:
a) 6z3 + 14z2 – 20z b) 6z2 + 14z – 20
c) 5z3 + 9z2 – 12z d) 10z3
28B. Multiply and simplify where possible:
a) 30xyz b) 15x2 – 12xy + 27xz
c) 8x – xy + 12xz d) 15x – 12xy + 17xz
28C. Multiply and simplify where possible:
a) 8xz2 b) 16xz – 8x
c) 14xz2 + 2xz – 8x d) 9xz2 + 3xz – 2x
28D. Multiply and simplify where possible:
a) 15y + 20z –55x b) -4xyz
c) 8xy + 9xz – 6x d) 15xy + 20xz – 55x
28E. Multiply and simplify where possible:
a) 4xy2 – 32x2 + 12x b) 5xy2 – 4x2 + 7x
c) 4xy – 20x d) 4xy2 – 32x + 12
28F. Multiply and simplify where possible:
a) 5xyz + 8x2y – 6xy b) -6xyz
c) 6xyz + 15xy – 27xy d) 6xyz + 15x2y – 27xy
29A. Multiply and simplify where possible:
a) b)
c) d)
29B. Multiply and simplify where possible:
a) b)
c) d)
29C. Multiply and simplify where possible:
a) b)
c) d)
29D. Multiply and simplify where possible:
a) b)
c) d)
29E. Multiply and simplify where possible:
a) b)
c) d)
29F. Multiply and simplify where possible:
a) b)
c) d)
30A. Multiply and simplify where possible:
a) 14y2 + 11y – 15 b) 9y – 2
c) 14y2 – 15 d) 14y2 – 31y – 15
30B. Multiply and simplify where possible:
a) 10x – 10 b) 10x2 – 46x – 10
c) 24x2 + 21 d) 24x2 – 46x + 21
30C. Multiply and simplify where possible:
a) 12z2 + 44z + 4 b) 35z2 – 7
c) 35z2 + 44z – 7 d) 12z2 + 18z + 6
30D. Multiply and simplify where possible:
a) 8y2 + 14y – 15 b) 6y – 2
c) 8y2 – 15 d) 6y2 + 8y + 2
30E. Multiply and simplify where possible:
a) 11x – 11 b) 18x2 – 85x + 18
c) 18x2 – 18 d) 11x2 – 22x – 11
30F. Multiply and simplify where possible:
a) 9z2 + 9 b) 20z2 + 20
c) 9z2 + 18z + 9 d) 20z2 + 41z + 20
31A. Multiply and simplify where possible:
a) b) c) d)
31B. Multiply and simplify where possible:
a) b) c) d)
31C. Multiply and simplify where possible:
a) b) c) d)
31D. Multiply and simplify where possible:
a) b) c) d)
31E. Multiply and simplify where possible:
a) b) c) d)
31F. Multiply and simplify where possible:
a) b) c) d)
32A. Multiply and simplify where possible:
a) 3x + 11xy – 10y b) 4x + 3y
c) 3x2 – xy – 10y2 d) 3x2 – 10y2
32B. Multiply and simplify where possible:
a) 6x2 + xy – 15y2 b) 3x + 2y
c) 6x + xy – 15y d) 6x2 – 15y2
32C. Multiply and simplify where possible:
a) 10x – 37xz + 7z b) 10x2 + 7z2
c) 7x – 8y d) 10x2 – 37xz + 7z2
32D. Multiply and simplify where possible:
a) 5x2 – 6z2 b) 5x2 – 13xz – 6z2
c) 5x – 13xz – 6z d) 6x – z
32E. Multiply and simplify where possible:
a) 9y2 – 9yz + 2z2 b) 9y2 + 2z2
c) 6y – 3z d) 9y – 9yz + 2z
32F. Multiply and simplify where possible:
a) 6y – 6z b) 8y – 26yz – 7z
c) 8y2 – 7z2 d) 8y2 – 26yz – 7z2
33A. Simplify:
a) 5y2 + 18y + 56 b) 5y2 + 11y –15 c) 5y2 – 11y + 15 d) 5y2 + 7y – 1
33B. Simplify:
a) 6x2 – 5x – 3 b) 6x2 – 5x – 11 c) 6x2 – 5x + 3 d) 6x2 + 5x – 3
33C. Simplify:
a) 8z2 – z – 12 b) 8z2 + 2z + 2 c) 8z2 – 2z + 12 d) 8z2 + z + 2
33D. Simplify:
a) 9x2 – 3x – 2 b) 9x2 – 3x – 12 c) 3x2 – 3x – 2 d) 9x2 – 3x + 12
33E. Simplify:
a) 7y2 + 8y + 1 b) 8y2 + 8y + 1 c) 8y2 – 8y + 1 d) 7y2 – 8y + 1
33F. Simplify:
a) z2 + 13z + 13 b) z2 + 13z – 13 c) z2 + 3z – 13 d) z2 + 3z – 13
34A. Simplify:
a) 7x2 – 5x + 6 b) 7x2 + 11x + 4
c) 7x2 – 5x + 4 d) 11x2 – 5x + 6
34B. Simplify:
a) -2y2 + 6y + 2 b) 10y2 – 10y + 12
c) -2y2 – 10y + 12 d) -2y2 – 6y – 12
34C. Simplify:
a) 13z2 + 7z – 7 b) z2 – 9z – 3
c) z2 – 9z + 7 d) z2 + 7z – 7
34D. Simplify:
a) -4x2 + 5x – 8 b) 10x2 + 3x – 2
c) -4x2 + 3x – 2 d) -4x2 – 5x – 8
34E. Simplify:
a) 12y2 – 6y – 2 b) 8y2 + 10y – 8
c) 8y2 – 6y – 8 d) 8y2 – 6y – 2
34F. Simplify:
a) -6z2 – 11z + 6 b) -6z2 + 5z – 4
c) -6z2 – 11z – 4 d) -7z2 + 5z – 4
35A. Simplify:
a) -4z2 + 5z + 5 b) -4z2 + 3z + 5
c) -4z2 + 5z – 13 d) -6z2 + 3z – 13
35B. Simplify:
a) -4x2 + 8x – 6 b) 12x2 + 4x – 1
c) -4x2 + 4x – 1 d) -4x2 + 8x – 1
35C. Simplify:
a) 11y – 1 b) -7y – 13
c) 10x + 11y – 1 d) 10x – 7y – 13
35D. Simplify:
a) -4y + 8z – 9 b) 12y + 6z – 3
c) -4y + 6z – 3 d) -4y + 8z + 9
35E. Simplify:
a) -4y2 + 8y – 5 b) -4y2 + 8y + 6
c) 6y2 – 4y – 5 d) -4y2 – 4y + 4
35F. Simplify:
a) -4x – z + 8 b) -4x – 3z – 4
c) 9x – z + 8 d) -4x – 2z – 4
VCC Prealgebra Exam Practice Answers:
1A. C
1B. A
1C. C
1D. B
1E. A
1F. C
2A. A
2B. B
2C. C
2D. D
2E. C
2F. A
3A. C
3B. C
3C. B
3D. A
3E. D
3F. B
4A. C
4B. A
4C. D
4D. D
4E. B
4F. C
5A. A
5B. B
5C. C
5D. D
5E. A
5F. C
6A. D
6B. A
6C. D
6D. A
6E. C
6F. B
7A. D
7B. A
7C. A
7D. D
7E. C
7F. D
8A. B
8B. A
8C. D
8D. B
8E. A
8F. B
9A. A
9B. C
9C. A
9D. B
9E. A
9F. D
10A. C
10B. A
10C. C
10D. B
10E. D
10F. B
11A. B
11B. A
11C. C
11D. A
11E. B
11F. A
12A. B
12B. A
12C. C
12D. D
12E. B
12F. C
13A. B
13B. A
13C. D
13D. D
13E. C
13F. C
14A. C
14B. D
14C. A
14D. C
14E. A
14F. C
15A. A
15B. B
15C. C
15D. A
15E. D
15F. C
16A. B
16B. C
16C. A
16D. B
16E. A
16F. D
17A. A
17B. D
17C. B
17D. D
17E. A
17F. C
18A. C
18B. B
18C. A
18D. D
18E. B
18F. B
19A. D
19B. A
19C. C
19D. B
19E. D
19F. C
20A. D
20B. C
20C. B
20D. B
20E. B
20F. D
21A. C
21B. A
21C. D
21D. A
21E. C
21F. D
22A. A
22B. D
22C. B
22D. D
22E. B
22F. A
23A. C
23B. A
23C. C
23D. C
23E. B
23F. B
24A. D
24B. B
24C. A
24D. C
24E. B
24F. D
25A. C
25B. D
25C. A
25D. C
25E. A
25F. B
26A. C
26B. B
26C. A
26D. B
26E. D
26F. A
27A. D
27B. C
27C. B
27D. A
27E. B
27F. C
28A. A
28B. B
28C. C
28D. D
28E. A
28F. D
29A. C
29B. D
29C. A
29D. C
29E. B
29F. A
30A. A
30B. D
30C. C
30D. A
30E. B
30F. D
31A. D
31B. B
31C. A
31D. C
31E. D
31F. A
32A. C
32B. A
32C. D
32D. B
32E. A
32F. D
33A. B
33B. A
33C. D
33D. A
33E. C
33F. B
34A. B
34B. A
34C. B
34D. A
34E. D
34F. B
35A. B
35B. C
35C. A
35D. C
25E. B
35F. A