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WorksheetsEquations Test Review
Total questions: 60
Worksheet time: 3hrs 34mins
Simplify:
-10x + 15 - 3x + 2
4x
-13x2 + 13
-13x + 17
-7x + 17
3 + 5x + 8 - 2x
-2y + 8 + 7y + 5
3(9 + 2d) + 4d
-3(x - 4) + 3(a - 6)
4(8x + 1) - 6(1 - 8x)
-n -5(-6-7n)
5(-8n +5) -4n
-8n - 7(n+5)
Simplify.
1/2(4x-10)
8x-5
2x+5
2x-5
8x-20
Simplify.
2/5(10x+25)
50x+100
2x+5
4x+10
4x+25
Distribute and then Combine Like Terms:
-3(4x + 2) + 5x
-12x - 6
-7x - 6
-12x + 6
-7x + 2
Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?
y = 15x + 40
y = 40x + 15
y = 15x
y = 15x - 40
Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?
40x + 20 = 340
20x + 40 = 340
20x - 40 = 340
20 + 340 = 40x
Peter and his best friend found some money buried in a field. They split the money evenly, each getting $26. Which equation models this scenario?
x + x + 2 = 52
x/0.5 = 26
0.5x = 26
2x = 26
Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?
10.95x + 12.57 = 89.22
89.22x - 10.95 = 12.57
12.57x + 10.95 = 89.22
12.57 + 10.95 = 89.22
17 less than h equals 42
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.
Solve 7k - 14 = 42
7
-8
0
8
11 - 3x = 44
A wood board 100 centimeters long is cut into two pieces. One piece is 26 centimeters longer than the other. Which equation models this scenario?
2x + 26 = 100
2x - 26 = 100
x + 26 = 100
x - 26 = 100
Alex and 2 friends go to the movies. A ticket cost $7.75. They decide to split the cost of the popcorn. If they each spent $10.25, how much did the popcorn cost? Write the equation which represents this situation.
10.25 + 7.75 = 3x
7.75 + (x/3) = 10.25
7.75 + (x/2) = 10.25
(x/2) - 7.75 = 10.25
Solve the equation by first clearing fractions:
81x+41=85
x = 1/8
x = 4
x = 3
solution not listed
1
6
-1
-2
4
-2
2
-6
Solve the following: 2y+15=410
(a)
4(3x + __) = 12x + 16
Determine the GCF to factor the expression: 54+12t
12(44+t)
6(9+2t)
2(27+6t)
66t
Determine the GCF to factor the expression: 36p +21
21(15p)
3(12p+7)
52p
10(3.6p+2.1)
Determine the GCF to factor the expression: 15+21k
3(5+7k)
15(6k)
5(3+4.2k)
10(1.5+2.1k)
Solve the equation
-8x - 8 + 3(x - 2) = -3x + 2
x = -8
x = 8
x = 2
x = -2
12x - 15 = 3(2x+3)
2(4x-3) - 8 = 4 + 2x
5y + 34 = -2(-7y+1)
Factor out the GCF: 15ab - 21b
3(5ab - 7b)
3a(5b - 7)
3b(5a - 7)
b(15a - 21)
Ryan is thinking of a number. When he multiplies this number by 6 and then subtracts 15 from the answer, he ends up with his original number. What is the equation that represents this problem?
15 - 6x = x
6x-15 = x
6x15 = x
6(15) = x
Brian needs 183 feet of fencing for a basketball court but for only three sides, since the other longer side will be against a wall. The length of the court is 32 feet more than the width. One of the shorter sides will be 5 feet shorter than the other one. What is the equation that represents this problem?
x + x + 32 + x - 5 = 183
x + 32 + x - 5 = 183
x + 32 - 5 = 183
Jenny remembers that she made three times as many baskets as Grace. Alexis knows that she made six more baskets than Grace. Joan thinks that she made 4 fewer baskets than Grace. Tammy is sure that she made the same number of baskets as Joan. Altogether the five players made 40 baskets. What is the equation that represents this problem?
x + (x + 6) + (x - 4) + x = 40
x + x + x + x + x = 40
3x + (x + 6) + (x - 4) + x + x = 40
x + 3x + (x + 6) + (x - 4) + (x - 4) = 40
The sum of three consecutive numbers is 57.
x + (x + 1) + (x + 2) = 57
x + x + x = 57
x + (x + 2) + (x + 4) = 57
x + (x + 3) + (x + 6) = 57
The sum of three consecutive even numbers is 72.
x + (x + 1) + (x + 2) = 72
x + x + x = 72
x + (x + 1) + (x + 3) = 72
x + (x + 2) + (x + 4) = 72
Camille knew that a triangle had one side with a length of 16 inches and another side with a length of 20 inches. She did not know the length of the third side, but she did know that the perimeter was five times the length of the unknown side.
16(20) = x
16 + 20 = x
16 + 20 + x = 5x
16 + 20 + x = P
Dawn and Myrna’s father has asked them to build a rectangular pen for their dog. They have 73 feet of fencing. They want the length to be one more than twice the width. What is the equation that represents this problem?
x + (2x + 1) = 73
x + 2x = 73
x + x = 73
x(2x +1) = 73
Yosemite Falls is actually made up of three smaller falls. The Lower Yosemite Falls is 355 feet shorter than the Middle Cascades Falls. The Upper Yosemite is 80 feet more than twice the Middle Cascades Falls. The entire set of waterfalls is 2425 feet long. What is the equation that represents this problem?
2(x + 355) + 80 = 2425
x + (x - 355) + (2x + 80) = 2425
x + x + x = 2425
x + (x - 355) + x + 80 = 2425
The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?
15x + 2.5 = 10x + 3
15 - 2.5x = 10 - 3x
15 + 2.5x = 10 + 3x
15 - 10 = 2.5x + 3x
A pair of jeans costs $34.00. You have a coupon for 30% off the regular price. What is the sale price of the jeans after you use your coupon?
$10.20
$23.80
$31.00
$44.20
A skateboard is on sale with a 25% discount. The original price was $120.
Find the sale price.
60
90
110
44
