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7th Grade-FSA Benchmark2-Equation and Expressions 04/08/2019

Total questions: 35

Worksheet time: 9hrs 45mins

Name
Class
Date
1.
-10z = 40
a)
z = 50
b)
z = 30
c)
z = -4
d)
z = 4
2.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
3.
Solve: 4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
4.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
5.
Which equation has x =2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
6.
a)

50

b)

60

c)

6

d)

5

7.
a)

g(0.075g) and 1.075g

b)

g + 0.075g and 1.075g

c)

g – 0.075g and 1.075g

d)

g and 1.075g 0.075g

8.
a)

9𝑥 + 0.5 ∗ 5

b)

4.5(2.5𝑥 ∗ 5)

c)

9𝑥 + 11.25

d)

9𝑥 + 2.25 ∗ 22.5

9.

Which expression represents that y was halved and then increased by 40%?

a)

1/2 (y) +0.4y

b)

2y+0.4y

c)

1/2 (y) + 0.4

d)

2y+0.4

10.

A department store is having a sale. Skirts are on sale for 20% off the original price, p. Which equation could be used to find s, the sale price of a skirt?

a)

s = 0.20p

b)

s=p- p/20

c)

s=p–0.20

d)

s=p–0.20p

11.

What is the simplest form of 1/3 (45𝑥 − 18/7)

a)

15x -18/7

b)

45x -8/21

c)

85x + 18/7

d)

15x - 6/7

12.
a)

-2.5-3.5n

b)

-2.5+ 3.5n

c)

-2.5-6.5n

d)

-2.5-n(5-1.5)

e)

-2.5+ n(5-1.5)

13.

Mark which expressions are equivalent to 8 – 2(5x – 3). Explain or show work to justify your decision

a)

6(5x – 3)

b)

8 – 10x + 6

c)

8–(10x–6)

d)

8–10x–6

e)

–10x + 14

14.
a)

4 and 24

b)

3x

c)

6xy

d)

8y

e)

2xy

15.

Use factoring to rewrite each expression in an equivalent form. Use the fewest number of terms possible. Show each step of your work.

A. 4x+8+2

a)

10+4x

b)

14x

c)

4x+10

d)

2(2x+5)

16.

Use factoring to rewrite each expression in an equivalent form. Use the fewest number of terms possible. Show each step of your work.


B. 3x–12+6x+9

a)

9x-21

b)

-3+9x

c)

9x + 21

d)

9x -3

17.
a)

7/2 x

b)

-13/2 x

c)

-6x+14

d)

-3/2x+5

18.
a)

12x+74 or 2(6x+37

b)

2x - 2-72+6x

c)

6x-1/4 -72 -6x

d)

12x-74 or 2(6x-37)

19.

What is the difference of the two expressions?

(3 𝑥+ 9) - (2 𝑥 − 3)

a)

X+9-3

b)

X+9+3

c)

X-12

d)

x +12

20.
a)

4X+40

b)

2(2X+20)

c)

2(X+15)(X+5)

d)

4(X+15)(X+5)

e)

2(X+15)=2(X+5)

21.

Write the expression for the perimeter of the rectangle

a)

9x+ 4

b)

8x-4

c)

3x2 + 4

d)

8x+4

e)

2(4x+2)

22.

What is the area of the rectangle showed

a)

x(3x+2)

b)

3x2+ 2x

c)

9x +4

d)

6x + 4

e)

3x2+2

23.

Which expression is not equivalent to the other three?

a)

−8−7n+16n

b)

9(n−8)

c)

n−8+8n

d)

9n−8

24.

Why are the expressions 3(y−2)+2(y−2) and 5(y−2) equivalent? Justify your answer

a)

Because Ms. Nelson Says so

b)

Because working out the first problem using PEMDAS will result in the second expression

c)

Because they are equal

d)

They are not equivalent

25.

Malia is at an amusement park. She bought 14 tickets, and each ride requires 2 tickets.

Write an expression that gives the number of tickets Malia has left in terms of x, the number of rides she has already gone on. Find at least one other expression that is equivalent to it.

a)

14+2n

b)

2(7-n)

c)

14=2n

d)

14-2n

26.

Select all the expressions that are equivalent to each other.

a)

2(1+2b+3a)

b)

2(1+2a)+2(a+2b)

c)

6a+2+4b

d)

2(3a+1)+4b+1

27.

A. Which of the equations below will answer the following question? Check all that apply.

“I think of a number, add 8 and then multiply by 3. My answer is 66. What was my number?

a)

x+24=66

b)

3x+8=66

c)

3x+24=66

d)

3(x+8)=66

28.
a)

(7.5+4)-3

b)

-(7.5+4)-3

c)

-(7.5+4)+3

d)

-3-(4+7.5)

e)

-(3-7.5)+4

29.
What is the first step to solve this equation?
x + 8 = 10
a)
Subtract 8 from x 
b)
Subtract 8 from both sides 
c)
Subtract 8 from one side and add 8 to the other 
d)
Add 8 to both sides
30.
What is the first step to solve this equation? 
13 + c = 25
a)
Add 13 to both sides
b)
Subtract 13 from both sides
c)
Add 13 to one side and subtract 13 from the other 
d)
Add 13 to C
31.
What is the inverse operation of dividing (÷)?
a)
Dividing (÷)
b)
Adding (+)
c)
Subtracting (-)
d)
Multiplying (×)
32.
Solve for t. 
16 = t + 5
a)
10
b)
5
c)
12
d)
11
33.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
34.
Solve for x:
10 = 3x -12
a)
22/3
b)
2/3
c)
10/9
d)
8
35.
Solve for x:
7 - 5x = 12
a)
1
b)
-6
c)
-1
d)
6