Free Printable Study Guide Part 1 (Unit 1 Inspire)

1.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

2.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

3.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

4.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

5.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

6.

Which of the following equations require you to use the Distributive Property first?

Select all that apply.

a)

6x-8=7(x+2)

b)

7n-5=3

c)

2(a-9)=9a+1

d)

4-9y=8+4y-2

7.

Which step is incorrect?

120 = 4(7a+2)

Step 1 Distribute

120 = 28a + 8

Step 2 Subtract 8 from both sides

112 = 28a

Step 3 Divide both sides by 28

a=4

a)

Step 1

b)

Step 2

c)

Step 3

d)

Problem is worked correctly

8.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

9.

4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

10.

$3\left(x+4\right)=3\left(x-8\right)$

a)

one solution

b)

no solution

c)

infinite solutions

11.

$-2\left(x+1\right)=x-3x-2$

a)

one solution

b)

no solution

c)

infinite solutions

12.

$8x+16=4\left(2x+4\right)$

a)

one solution

b)

no solution

c)

infinite solutions

13.

7 + 4x - 8x = 2(2x + 1)

a)

One Solution

b)

No Solution

c)

Infinite Solutions

14.

$x=x$

a)

one solution

b)

no solution

c)

infinite solutions

15.

Solve m - n = 5 for m.

a)

m = n + 5

b)

m = n - 5

c)

m = 5n

d)

m = 5 - n

16.

Solve for y:

5x + y = 16

a)

y = -5x + 16

b)

y = 5x + 16

c)

y = 5y - 16

d)

y = -5x - 16

17.

Solve IR = V for R.

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

18.

Solve:

y = mx + b , for b

a)

b = y - mx

b)

b = y + mx

c)

b = mx - y

d)

b = -y - mx

19.

Solve for x.

z = xy

a)

x = ^z/_y

b)

x = ^y/_z

c)

x = yz

d)

x = z - y

20.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = ^a/_b

21.

Write the inequality:
The Chicago Cubs have won more than 100 games.

a)

x > 100

b)

x < 100

c)

x ≥ 100

d)

x ≤ 100

22.

Write the inequality:
You have to be 54 inches or taller to ride the American Eagle

a)

x > 54

b)

x < 54

c)

x ≥ 54

d)

x ≤ 54

23.

Write the inequality:
There are fewer than 20 days left in October.

a)

x > 20

b)

x < 20

c)

x ≥ 20

d)

x ≤ 20

24.

Write the inequality:
The speed limit on Rollins Road is 35 miles per hour.

a)

x > 35

b)

x < 35

c)

x ≥ 35

d)

x ≤ 35

25.

If you were to graph the inequality would the circle be open or closed?
x ≥ 15

a)

open

b)

closed

26.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

27.

The temperature dropped 11° in the last hour. The temperature is currently below 50°F. Which of the following could be used to determine the temperature, t, one hour ago?

a)

t – 11 < 50

b)

t – 11 > 50

c)

t – 11 ≤ 50

d)

t – 11 = 50

28.

Bria takes piano lessons. She needs to practice at least 120 minutes per week. So far this week she has practiced 95 minutes.

How do we write the inequality for this situation?

a)

95 + m ≤ 120

b)

95 + m ≥ 120

c)

95 + m < 120

d)

95 + m > 120

29.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

30.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

31.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

32.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

33.

What is a test that is used to check if the graph is function or not?

a)

Multiple Choice

b)

Vertical Line Test

c)

Horizontal Line Test

d)

None of the above

34.

Is this graph a function or not a function?

a)

Function

b)

Non Function

Study Guide Part 1 (Unit 1 Inspire)

Total questions: 34

Worksheet time: 2hrs 19mins

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