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WorksheetsSolving Equations and Word Problems
Total questions: 21
Worksheet time: 12mins
Match each equation to one of the tape diagrams.
4 + x = 12, 4x = 12
12 /4 = x, x - 12 = 4
12/x = 4, 12/x = 4
4/x = 12, 4x = 12
Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation.
24/10 = x
24 + 10 = x
24-10 = x
x + 10 = 24
10x = 24
Each crayon pack contains 60 crayons. Andre has 5 packs. How many crayons does Andre have? Select all the equations that describe the situation and then solve the problem.
y = 60/5
y = 5x60
y/5 = 60
5y = 60
Find the product of: (20.2) (0.02)
.00404
.404
404
40.4
Which expressions are solutions to the equation 4/5 x = 15. Select all that apply.
15/ 4/5
15/ 5/4
15 ( 5/4)
15 (4/5)
Triangle B has a base of 11 inches and a corresponding height of 7 inches. Triangle N has a base of 16 inches and a corresponding height of 4 inches. Which triangle has a greater area? Show your reasoning.
B
N
You had $50. You spent 30% of the money on clothes, 20% on food, and the rest on a gift for your mother. How much money was spent on a gift for your mother? Show your work and how you figured it out.
clothes = .3 x 50 = 15
food = .2 x 50 = 10
50 - 15 - 10 = 15
$25
clothes = .3 x 50 = 15
food = .2 x 50 = 10
50 - 15 + 10 = 25
$25
clothes = .2 x 50 = 10
food = .3 x 50 = 15
50 + 10 + 15 = 75
$75
For the equation 2n-3 = 7, solve this algebraically.
2n - 3 = 7
2n = 10
n = 5
2n - 3 = 7
2n = 4
n = 2
2n - 3 = 7
2n = 12
n = 6
2n - 3 = 7
2n = 10
n = 20
Which of these is the solution to the equation 1/8 = 2/5 x?
2/40
5/16
11/40
17/40
80% of x is equal to 100. Write an equation that shows the relationship between 80%, x, and 100. Then find x.
80/100x = 100
x = 10000/80 = 12.5
.8x = 100
x = 100x80= 8000
80/100x = 100
x = 100/80 = 125
80x = 100
x = 100/80 = 1.25
Complete the calculation using the distributive property: 97 x 23 = (100-3) (23) = ?
100 x 23 = 2300
3 x 23 = 69
2300+69 = 2369
100 x 23 = 2300
3 x 23 = 69
2300-69 = 2231
100 x 23 = 2300
3 x 23 = 69
2300 x 69 = 158,700
Nolan swam 5 1/2 laps in the pool in 8 minutes at a constant speed. It took Nolan x minutes to swim each lap. Select ALL the equations that represent this situation.
x = (5 1/2) / 8
5 1/2 -x = 8
x = 8 / (5 1/2)
5 1/2 + x = 8
5 1/2 / x = 8
If the area of a square is 121 cm squared, what is its side length?
121 / 121 = 1 cm
121 / 4 = 30.25 cm
121 = x (x) = 11 cm
Which expressions represent the total area of the large rectangle? Select all that apply.
6 (m + n)
6n + 6m
(n+m) 6
6n + m
6mn
What is the area of a square with side lengths of 4/5 inches?
A = l (w)
A = 4/5 (4/5) = 20/20
A = l (w)
A = 4/5 (4/5) = 25/16
A = l (w)
A = 4/5 (4/5) = 8/10
A = l (w)
A = 4/5 (4/5) = 16/25
What is the volume of a cube with edge lengths of 2/3 units?
V = l (w) (h)
V = (2/3) (2/3) (2/3) = 8/27
V = l (w) (h)
V = (2/3) (2/3) (2/3) = 6/9
V = l (w) (h)
V = (2/3) (2/3) (2/3) = 27/8
V = l (w) (h)
V = (2/3) (2/3) (2/3) = 9/6
What is the edge length of a cube with volume 27/64 cubic units?
V = l (w) (h)
27/64 = lwh = 27/64
V = l (w) (h)
27/64 = lwh = 3/4
V = l (w) (h)
27/64 = lwh = 9/8
V = l (w) (h)
27/64 = lwh = 8/9
B says, "I took the number 9, and then multiplied it by the square of 3." Select all the expressions that equal B's answer.
9 x 3 (3)
9 x (2) (2) (2)
27 (27)
(9x3) (9x3)
81
Evaluate the expression for the given value of the variable. 3x squared + y, x = 6 and y is 2.
3 (6x6) + 2 =
3 (36) + 2 =
110
3 (6x6) + 2 =
18 + 12 =
30
3 (6x6) + 2 =
18 + 18 + 2 =
38
3 (6x6) + 2 =
3 (36) + 2 =
108
Evaluate the expression when x = 4 and y = 6. (6-x) cubed + y
(6-4) (6-4) (6-4) + 6 =
2 + 2 + 2 + 6 =
18
(6-4) (6-4) (6-4) + 6 =
18 - 12 + 6 =
12
(6-4) (6-4) (6-4) + 6 =
4 + 6 =
10
(6-4) (6-4) (6-4) + 6 =
8 + 6 =
14
Select all the expressions that are equivalent to 4x + 24x - 12x
4 (x + 6x -3x)
x (4 + 6 - 3)
4x (1 + 4 -3)
4 (x + 4x - 4x)
