Free Printable Algebra I Unit 2 Test (Equations & Inequalities)

1.

Solve the equation below. $-12x+8+5x=36$

a)

x = -4

b)

x = 4

c)

x = -2

d)

x = 2

e)

x = 0

2.

Solve the equation below.

$8k - (6k - 4) = 10$

a)

k = 7

b)

k = 6

c)

k = 5

d)

k = 4

e)

k = 3

3.

What is the solution to the equation $-2y + 4 = 8y - 6$ ?

a)

y = 1

b)

y = -1

c)

y = 0

d)

y = 2

e)

y = -2

4.

Solve the equation below.

$13w - 2(4w + 1) = w - 58$ What is the value of w?

a)

w = 5

b)

w = -5

c)

w = 10

d)

w = -10

e)

W = -14

5.

What is the value of h in the equation $3h - 2(4h - 5) = 10 - 5h$ ?

a)

h = 0

b)

h has no solution

c)

h = - $\infty$

d)

h = 3

e)

h = $\infty$

6.

Solve the equation below. What is the value of m?

$9(m + 5) - 3(m - 2) = 8m + 31$

a)

m = 1

b)

m = 2

c)

m = 3

d)

m = 10

e)

m = 4

7.

Solve the equation below. What is the value of x? $-5(x-3)-2x=46-4(x+1)$

a)

X = -9

b)

X = 5

c)

X = 0

d)

X = 3

e)

X = -3

8.

Solve the equation below. $\frac{6}{y-5} = \frac{18}{y+1}$ . What is the value of $y$ ?

a)

Y = -10

b)

Y = 6

c)

Y = 8

d)

Y = 4

e)

Y = 10

9.

Solve the equation $|2x+5|=11.$ What are the possible values of x?

a)

X = {-8, -3}

b)

X = {-8, 3}

c)

X = {6, -1}

d)

X = {-6, 1}

e)

X = {-6, -1}

10.

Solve the equation below. What are the possible values of $x$ ?

$3|x-4|+1=19$

a)

X = {-2, -10}

b)

X = {2, 10}

c)

X = {-2, 10}

d)

X = {2, -10}

e)

no solution

11.

Which equation has no solution?

a)

$9x+9=11x-2x+9$

b)

$7x+30=x+6(x+5)$

c)

$-5x+9=2x+9-7x$

d)

$7x-6=x+6(x+5)$

12.

In the problem below, which line contains an error?

a)

Line 1

b)

Line 2

c)

Line 4

d)

Line 5

e)

Looks Perfect!

13.

The steps for solving an equation are shown below. Identify which property was used for step 4.

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Distributive Property

e)

Substitution Property

14.

Solve the equation below for t.

$I\ =\ prt$

a)

t = Ipr

b)

t = I + pr

c)

$t\ =\ \frac{I}{pr}$

d)

t = I -pr

e)

I do not know

15.

Solve the equation below for a: $w = 7a + 4b$

a)

$a = \frac{w - 7b}{4}$

b)

$a = \frac{w}{7} - 4b$

c)

$a = \frac{w - 4b}{7}$

d)

$a = \frac{w}{7} - 28b$

e)

$a\ =\ w\ -\ 4b$

16.

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, what are the numbers?

a)

11 and 51

b)

14 and 49

c)

12 and 51

d)

13 and 50

e)

15 and 50

17.

The length of a rectangle is five inches less than twice its width. If the rectangle has a perimeter of 80 inches, what are the dimensions of the rectangle?

a)

Length: 35 inches, Width: 15 inches

b)

Length: 30 inches, Width: 10 inches

c)

Length: 20 inches, Width: 20 inches

d)

Length: 25 inches, Width: 15 inches

e)

Length: 20 inches, Width: 15 inches

18.

The sum of two consecutive odd numbers is 72. What are the numbers?

a)

35 and 37

b)

33 and 39

c)

31 and 41

d)

36 and 38

e)

37 and 41

19.

Solve the inequality below: $2(4x - 3) \leq 5x - 27$

a)

x > -7

b)

$x\ge7$

c)

x = -7

d)

$x\le-7$

e)

$x\le7$

20.

Solve the inequality below:

-2(x - 5) < 4

a)

x > -3

b)

x < 3

c)

x > 3

d)

x < -3

e)

$x\le3$

21.

Solve and graph the inequality below:

$2-(2x-4)>-4$

a)

A

b)

B

c)

C

d)

D

e)

Not sure

22.

Which represents the solution to the inequality below in interval notation?

a)

A

b)

B

c)

C

d)

D

e)

Who knows

23.

Solve and graph the inequality below:

$11x-9>13or-4x-4>8$

a)

A

b)

B

c)

C

d)

D

e)

I don't know

24.

Solve the inequality below.

$-12\le2x-4<-4$

a)

A. -2 ≤ x < 6

b)

B. -8 ≤ x < -4

c)

C. -10 ≤ x < -2

d)

D. -4 ≤ x < 0

e)

Not sure

25.

Which value of x is NOT in the solution to the compound inequality.

a)

-1

b)

0

c)

1

d)

2

e)

5

26.

Solve and graph inequality below.

$4|x+2|\le20$

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

e)

Graph Z

27.

Simplify the expression below.

$\frac{(7 + 3^2) \cdot 3}{| -8 | - | -2 |}$

a)

6

b)

7

c)

8

d)

9

e)

-3

28.

Evaluate the expression below if x = -7 and y = 4

$x^2-3xy$

a)

-133

b)

133

c)

0

d)

-84

e)

84

29.

Which property justifies the statement below? $(-7+3)+9=-7+(3+9)$

a)

Identity Property

b)

Commutative Property

c)

Associative Property

d)

Distributive Property

e)

Inverse Property

30.

Which property justifies the statement below?

if a = b and b = c, then a = c

a)

Associative Property

b)

Reflexive Property

c)

Symmetric Property

d)

Transitive Property

e)

Commutative

31.

Solve the equation:

$5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x$

a)

x = 1

b)

x = 2

c)

x = -8

d)

x = 4

e)

x = -4

32.

The solution to this equation is (a)

Choose from the below words

46

-6.2

-40.75

47

32

33.

$4(4+4x)=96$

a)

5

b)

1.5

c)

9

d)

10

e)

-9

34.

$4=2r-10$

a)

7

b)

15

c)

14

d)

9

e)

-15

35.

$297=7(8x-6)+3$

a)

13

b)

12

c)

6

d)

10

e)

-13

36.

5x=25

a)

6

b)

5

c)

4

d)

50

e)

0

37.

7 (1 + 2n) = -105

a)

2

b)

7

c)

-8

d)

90909090909

e)

2.1

38.

a)

15

b)

3

c)

-15

d)

-3

e)

3

39.

(-5 (5 + 2n)) - 6 =-81

a)

-10

b)

-6

c)

5

d)

4

e)

6

40.

-54 = -4n + 2

a)

n = 13

b)

n = 14

c)

n = -56

d)

n = -14

e)

n = 56

41.

a)

A

b)

B

c)

C

d)

D

42.

a)

A

b)

B

c)

C

d)

D

e)

G

43.

a)

A

b)

B

c)

C

d)

D

e)

E

44.

$\frac{k}{4}+3=14$

a)

21

b)

44

c)

12

d)

32

e)

69

45.

30=5(x+1)

a)

5

b)

50

c)

15

d)

6

e)

-50

Algebra I Unit 2 Test (Equations & Inequalities)

Total questions: 45

Worksheet time: 38mins

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