Free Printable Algebra: Quarterly 1 Practice

1.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

9

d)

-9

2.

How many solutions does this equation have?

a)

No Solution

b)

Infinite Solutions

c)

One Solution

3.

Solve:

2(2x + 3) = -6(x + 9)

a)

x = -2

b)

x = 6

c)

x = -6

d)

x = 2

4.

How many solutions does the equation -3(2x+5)=-15 have?

a)

No solution

b)

One solution

c)

Infinite solutions

5.

Solve the equation
12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

6.

How many solutions does the equation 4(2x+1)=8x+4 have?

a)

No solution

b)

Infinite Solutions

c)

One solution

7.

Quick Check:

4x + 8 = 32

a)

x = 6

b)

x = 5

c)

x = 4

d)

x = 7

8.

Solve:

2(x + 4) = 18

a)

x = 5

b)

x = 4

c)

x = 13

d)

x = 9

9.

Did Sarah make an error? If so, which is the best description of her error?

a)

She didn't distribute correctly. The second step should read 3x - 12 = 24

b)

She didn't distribute correctly. The second step should read -3x - 12 = 24

c)

She didn't distribute correctly. The second step should read -3x + 12 = 24

d)

She didn't make an error.

10.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

11.

Eight less than 7 times a number is the same as 4 more than 3 times the number

a)

x + 3 = x

b)

8 = x + 4 + 3

c)

8 - 7x = 4 + 3x

d)

7x - 8 = 3x + 4

12.

a)

-6

b)

6

c)

12

d)

0

13.

Solve for y.

2x + 3y = 4

a)

$y=2x+4$

b)

$y=\frac{2}{3}x+4$

c)

$y=-\frac{2}{3}x+\frac{4}{3}$

d)

$y=-\frac{3}{2}x+\frac{4}{3}$

14.

Solve for y.

-3x + y = 18

a)

$y=3x+18$

b)

$y=-3x+18$

c)

$y=x+6$

d)

$y=-3x+6$

15.

Solve for y.

$-\frac{2}{3}$ x + y = 12

a)

$y=\frac{2}{3}x+12$

b)

$y=-\frac{2}{3}x+12$

c)

$y=\frac{3}{2}x+12$

d)

$y=\frac{2}{3}x+8$

16.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

17.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

18.

|−4 + 5x| = 16

a)

{16/5,12/5}

b)

{4,-5}

c)

{-12/5, 4}

d)

4

19.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-3,-1}

c)

{-3}

d)

No Solution

20.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

21.

3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

22.

3x - 2 < 13

a)

x > 3.67

b)

x > 5

c)

x < 5

d)

x < 3.67

23.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

24.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

25.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

26.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

27.

a)

x ≥ 11

b)

x ≤ 19

c)

x < 11

d)

x > 19

28.

a)

x < 6

b)

x ≤ 6

c)

x < 5.5

d)

x < 3/2

29.

a)

x ≤ 12

b)

x ≥ 12

c)

x ≥ 14

d)

x ≥ 23

30.

Solve

-2(x + 2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

31.

5z - 2z - 2 < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

32.

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > −5 or x ≤ 4

b)

x ≥ −5 or x < 4

c)

x > −5 and x ≤ 4

d)

x ≥ −5 and x < 4

33.

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

a)

x < −2 or x > 5

b)

x < 2 or x > 5

c)

x < −2 and x > 5

d)

x < 2 and x > 5

34.

Solve the following compound inequality:

3x − 4 < −13 or 7x + 1 > 22

a)

All Real numbers

b)

x > 3 and x > −9

c)

The answer is not listed

d)

x < −3 or x > 3

35.

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

a)

No solutions

b)

x < −8 or x < 2

c)

x > −8 or x < 2

d)

x < −8 and x < 2

36.

What inequality is graphed?

a)

x > 2 and x ≤ −3

b)

x > 2 and x < −3

c)

x > 2 or x ≤ −3

d)

x > 2 or x < −3

37.

-8<2(x+4) or -3x+4>x-4

a)

No solutions

b)

x<-8 or x<2

c)

x>-8 or x<2

d)

x<-8 and x<2

38.

−6 < 2t − 5 < 3

a)

−0.5 < t < 4

b)

0.5 < t < −4

c)

−11/2 < t < 2

d)

11/2 < t < −2

39.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

40.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

41.

f(x)=4x+5
f(4)=

a)

21

b)

-11

c)

-31

d)

25

42.

f(x)=2x+2

for x = 4

a)

6

b)

-8

c)

10

d)

0

43.

g(x) = 5 - 6x
Find g(-5)

a)

g(-5) = -25

b)

g(-5) = 6

c)

g(-5) = 4

d)

g(-5) = 35

44.

g(x) = 3x + 1
g(2) = _______

a)

6

b)

7

c)

8

d)

9

45.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

46.

What is the range of the graph?

a)

y ≥ -6

b)

-7 ≤ y ≤ 3

c)

-8 ≤ y ≤ 4

d)

y ≤ -6

e)

All real numbers

47.

What is the domain of the graph?

a)

x ≥ 1

b)

1 ≤ x ≤ 5

c)

1 ≤ x ≤ 4

d)

x ≤ 5

e)

All real numbers

48.

What is the range of the graph?

a)

y ≥ 1

b)

1 ≤ y ≤ 5

c)

1 ≤ y ≤ 4

d)

y ≤ 5

e)

All real numbers

49.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

50.

What is the RANGE?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

51.

a)

-5 ≤ x ≤ -1

b)

-4 ≤ y ≤ 4

c)

{ -4, 0, 2, 4 }

d)

{ -5, -4, -3, -1 }

52.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

53.

Is the following a function?

a)

Yes, this is a function.

b)

No, it's not a function.

c)

Can't be determined with this information.

54.

Which of the following is NOT a function?

a)

b)

c)

d)

55.

Is this a function or not a function?

a)

Function

b)

Not a Function

56.

Is this is a function or not a function?

a)

Function

b)

Not a Function

57.

a)

Function

b)

Not a Function

58.

a)

Function

b)

Not a Function

Algebra: Quarterly 1 Practice

Total questions: 58

Worksheet time: 5hrs 29mins

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