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7MA ACC Unit 2 Study Guide 2023-24

Total questions: 24

Worksheet time: 40mins

Name
Class
Date
1.

Evaluate: 5x + 2 = 22

2.

Simplify: 2(−4x)−(x−8)2\left(-4x\right)-\left(x-8\right)

3.

Pay attention to the variable

Gina wants to go to the water park with her friends. They have a total of $a

to buy 5 tickets. Each ticket costs $ 15 .

Select all equations that describe this situation.

4.

Simplify the expression:

15(20+50c)\frac{1}{5}\left(20+50c\right)

5.

Which expression is equal to:

2(x+7)−18x+452\left(x+7\right)-18x+\frac{4}{5}

6.

Simplify:

3(12l−8)+83\left(12l-8\right)+8

7.

Sabrina has eight boxes of crayons, with twelve crayons in each box. She uses thirty-two crayons. How many crayons does she have left?

8.

Simplify:

4(5x+8)+4(x−3)4\left(5x+8\right)+4\left(x-3\right)

9.

Simplify:

−7(7x−7)-7\left(7x-7\right)

10.

Simplify and Combine Like Terms:

4(x−20)+2(x+13)4\left(x-20\right)+2\left(x+13\right)

11.

Evaluate:

10−4(8x+3)=1210-4\left(8x+3\right)=12

12.

At a bakery, rolls cost $0.25 each, and loaves of bread cost $6 each. Mr. Parrish has $84 to spend, and he really likes bread. He buys 8 loaves of bread to hold him over. How many rolls can he get?

13.

Solve:

3b−4=143b-4=14

14.

How many solutions does the following equation have? 5x(2+4)=30x5x\left(2+4\right)=30x

a)

Infinitely many

b)

None

c)

0

d)

One solution

15.

How many solutions does the following equation have? 3(x+10)−27=5+2+2(x+x)−x3\left(x+10\right)-27=5+2+2\left(x+x\right)-x

a)

One unique solution

b)

Infinitely many

c)

0

d)

No solution

16.

How many solutions does the following equation have?

2(3x−5x)+13=4x+15−22\left(3x-5x\right)+13=4x+15-2

a)

None

b)

Infinitely many

c)

One unique solution

17.

Solve for y:

34y−52=32\frac{3}{4}y-\frac{5}{2}=\frac{3}{2}

18.

Solve for x:

12(x+−34)=512\frac{1}{2}\left(x+-\frac{3}{4}\right)=\frac{5}{12}

19.

Solve for x:

14(x−100)=3x+1\frac{1}{4}\left(x-100\right)=3x+1

20.

Solve:

−2(a−3)+4a=18-2\left(a-3\right)+4a=18

21.

−2(8x−1)=5(1−3x)-2\left(8x-1\right)=5\left(1-3x\right)

a)

x=−613x=-\frac{6}{13}

b)

x=−3x=-3

c)

x=−7x=-7

d)

x=3x=3

22.

Solve: −4x−2(8x+1)=−(−2x−10)Solve:\ -4x-2\left(8x+1\right)=-\left(-2x-10\right)

23.

Solve: −0.5(2x−6)+9=8-0.5\left(2x-6\right)+9=8

a)

x=11

b)

x=(-4)

c)

x=4

d)

x=14

24.

Solve: −13(6y+6)+21=3y-\frac{1}{3}\left(6y+6\right)+21=3y

a)

y=195y=\frac{19}{5}

b)

y=275y=\frac{27}{5}

c)

y=−95y=-\frac{9}{5}

d)

y=−235y=-\frac{23}{5}