Free Printable Unit 3 take home test review

1.

Equation for Infinite Solutions
The equation 3x + 17 = 3 (x+5) + A will have infinite solutions if A=

(a)

2.

Graphing an Inequality
Make a graph that represents the solution to the inequality:
13 − 10x ≤ 2x +49

a)

-3 ≥ x

b)

x ≥ -3

c)

x ≥ 3

d)

3 ≥ x

3.

Solving for x
Solve for x in the equation: $12(2x+2)−5x=5x−6(x−4)$

(a)

4.

Solving an Inequality for y
Solve for y in the inequality: $6y−(2y+4)>2y$

(a)

5.

Writing an Equation for a Word Problem
Mary spent $58 and spent twice as much as John. If John paid $4 per eraser and a one-time shipping fee of $5, which equation represents this situation?

a)

$58+2=4x+5$

b)

$2(4x)+5=58$

c)

$2(4x+5)=58$

d)

$58+2x=4x+5$

6.

Inequality Solution for g
Solve for g in the inequality: $25−4g>45$

a)

g < −5

b)

g > -5

c)

g < -4

d)

g > -4

7.

Solving for x
Solve for x in the equation: $\frac{1}{2}(14𝑥−6)=\frac{3}{4}(8𝑥+12)$

(a)

8.

Number of Solutions in a System
A system of equations is solved algebraically, resulting in 3=3. How many solutions does the system have?

a)

Infinitely many solutions

b)

No solutions

c)

one solution

d)

3 solutions

9.

The formula for the area of a triangle is $A=\frac{1}{2}bh$ Solve for h in terms of A and b

a)

2 * Ab = h

b)

(2A)/b = h

c)

(2b)/A = h

d)

1/2 b * A = h

10.

Determining the Number of Solutions
Consider the expression $2(4x−5)+x=3+9x−13$

a)

The equation has no solutions

b)

The equation has exactly one solution

c)

The equation has exactly two solutions

d)

The equation has infinitely many solutions

11.

Bike Rental Problem
Sara and Joe are renting bikes for the afternoon. The rental costs $45 for two bikes and $20 for each hour. If they have $150, what is the maximum number of hours they can rent the bikes?

a)

4 hours

b)

5 hours

c)

7 hours

d)

6 hours

12.

Graphing Inequality Solutions
Make a graph for the solution to the inequality: $6x+12<8+8x$

(a)

13.

Absolute Value Equation
Solve for x: $∣3x+5∣=10$

a)

𝑥 = − 5

b)

x = -6

c)

x = -4

d)

x = 3

14.

A rectangle has a length that is 3 times its width. If the perimeter is 48, what are the length and width?

a)

Length = 19, Width = 9

b)

Length = 18, Width = 7

c)

Length = 17, Width = 6

d)

Length = 18, Width = 6

15.

Solve for x: $\frac{2𝑥}{5}=\frac{10}{15}$

a)

x = 5/3

b)

x = 4/3

c)

x= 15

d)

x = 16

16.

6x + 12 < 8 + 8x

a)

b)

c)

d)

17.

Inequality with Fractions
Solve the inequality: $\frac{3x-5}{4}\ge\frac{7-x}{2}$

a)

x ≤ 3.8

b)

x ≤ 3

c)

x ≤ 3.2

d)

x ≤ 3.5

18.

How many solutions to the following equation: $x^2−5x+6=0$

a)

exactly one solution

b)

exactly two solutions

c)

No solutions

d)

Infinite solutions

Unit 3 take home test review

Total questions: 18

Worksheet time: 12mins

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