Free Printable Algebra 1 Semester 1 Review

1.

Solve for x:

3x + 5 = 17

a)

6

b)

10

c)

4

d)

8

2.

Solve for k:

9 + k = 18

a)

18

b)

9

c)

8

d)

7

3.

Solve for w:

3w = 30

a)

6

b)

9

c)

10

d)

12

4.

Solve for q:

q + 8.25 = 18

a)

807

b)

2.1818

c)

9.75

d)

97.5

5.

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

a)

20

b)

7

c)

10

d)

3

6.

Solve for x:

2x - 6 = 10

a)

-2

b)

12

c)

8

d)

4

7.

Solve for x:

7x + 3 = 24

a)

4

b)

3

c)

5

d)

6

8.

Solve for x:

5x + 2 = 17

a)

6

b)

3

c)

4

d)

8

9.

Solve for x:

5x - 3 = 12

a)

3

b)

8

c)

6

d)

4

10.

Solve for x:
4(1-x)+3x=-2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

11.

Solve for y:
5y+34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

12.

Solve for x

2x = x + 3

a)

6

b)

3

c)

2

d)

x

13.

Solve for x

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

14.

Solve for c

2c - 12 = 9c + 2

a)

14

b)

2

c)

-2

15.

Solve the inequality:

7x < 49

a)

x > 7

b)

x < 7

c)

x > 2

d)

x < 42

16.

Solve the inequality:

4x + 1 > 13

a)

x > 48

b)

x < 3

c)

x > 3.5

d)

x > 3

17.

Solve the inequality:

-9x + 7 ≥ 25

a)

x ≥ -3.6

b)

x ≤ 2

c)

x ≥ -2

d)

x ≤ -2

18.

Solve the inequality:

15 + 7x ≥ 29

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x > 2

19.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

20.

Solve the inequality:

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

21.

Write an inequality:

5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

22.

Write an inequality:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

23.

Four times a number, increased by 6 is greater than 22. Which inequality models this scenario?

a)

4x - 6 > 22

b)

4x + 6 < 22

c)

4x + 6 ≥ 22

d)

4x + 6 > 22

24.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

25.

_{What is the y-intercept of the line?}

a)

(0, 1/2)

b)

(0, 1)

c)

(0, -1/2)

d)

(0, -1)

26.

In the following equation, what is the y-intercept?

y = -3x + 7

a)

(0, -3)

b)

(0, 7)

c)

(0, -3/7)

d)

(0, 3)

27.

Which graph represents the equation $y=4x-1$ ?

a)

b)

c)

d)

28.

What letter represents the slope in the equation y = mx + b ?

a)

x

b)

y

c)

m

d)

b

29.

Given a slope of 2/3 and a y-intercept of (0, -3), what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

30.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

31.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

32.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

33.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

34.

Which graph represents $2x-5y=-10$

a)

b)

c)

d)

35.

Which graph represents the equation $x+5y=5$

a)

b)

c)

d)

36.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

37.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

38.

Write in slope-intercept form:
-3x + 4y = 12

a)

y = 3/4x + 3

b)

y = -3/4 x + 3

c)

y = -4x + 3

d)

y = 4x + 3

39.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

40.

Jerome has $150 in his savings account and saves $40 per month. Write a linear function J(x) that will tell us the money Jerome has in his savings account after x months.

a)

J(x) = 150 + 40

b)

J(x) = 40x + 150

c)

J(x) = 150x + 40

d)

J(x) = 40 + 150

41.

A plumber charges $50 for a house call plus $12 per hour for labor. The linear function P(x) represents the cost of the plumber for x hours.

P(x) = 50 + 12x

Find P(4)

a)

$86

b)

$98

c)

$110

d)

$74

42.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

43.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

44.

What is the range of the graph?

a)

[1, 4]

b)

(1, 5)

c)

[1, 5]

d)

(1, 4)

45.

What is the domain of the graph?

a)

[1, 4]

b)

(1, 4)

c)

[1, 5]

d)

(1, 5)

46.

The Roaming Cell Phone Company charges $15.00 per month plus $2 per minute of airtime usage. The linear function C(x) represents the cost for x minutes of airtime usage.

C(x) = 2x +15

Solve C(x) = 23

a)

4 minutes

b)

3 minutes

c)

2 minutes

d)

5 minutes

47.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

48.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

49.

$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(2\right)?$

a)

13

b)

8

c)

16

d)

answer not here

50.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each y-value has only one x-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each y-value has only one x-value paired with it.

51.

Which of the following is a function?

a)

b)

c)

d)

52.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

53.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

54.

Is this table a function or not a function?

a)

Function

b)

Not a Function

55.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

56.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

57.

Evaluate f(-2) if f(x) = x + 3

a)

-1

b)

1

c)

5

d)

-5

58.

Evaluate the function for f(9) if $\ f\left(x\right)=\frac{3}{5}x+8$ .

a)

$\frac{67}{5}$

b)

$-\frac{13}{5}$

c)

$-\frac{67}{5}$

d)

$\frac{13}{5}$

59.

Is the following graph a function? Explain.

a)

Yes, because no x-value repeats.

b)

Yes, because they are individual dots.

c)

No, because the x repeats.

d)

No, because it is not a line.

60.

Given the function, f, shown on the graph, what is the value of f(3)?

a)

0

b)

2

c)

6

d)

1

61.

If f(x) = 3x - 9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

62.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x - 3

d)

Can't be written in function notation

63.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

64.

Find f(2)

a)

5

b)

4

c)

3

d)

0

65.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

66.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

67.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

68.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

69.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

70.

Solve the following system of equations algebraically using elimination method.

a)

No Solution

b)

(0, 0)

c)

(4, 4)

d)

(4, 0)

71.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

72.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

73.

The solution is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

74.

This system has _____ solutions

a)

No solution

b)

1

c)

2

d)

Infinitely many

75.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

76.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

77.

Solve the system:
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

78.

Solve this system:
$y=4x+5$
$2x+3y=43$

a)

(3,17)

b)

parallel; no solution

c)

(2,8)

d)

(2,13)

79.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

80.

Solve the system:

a)

Infinite number of solutions

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

81.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

82.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

83.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

$y>\frac{1}{3}x$

84.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

85.

How would you graph the following linear inequality?

y ≥ 4

a)

Dashed line, shade above

b)

Dashed line, shade below

c)

Solid line, shade above

d)

Solid line, shade below

86.

How would you graph the following linear inequality?

y\ ≤\ \frac{4}{3}x\ -\ 4

a)

Dashed line, shade above

b)

Dashed line, shade below

c)

Solid line, shade above

d)

Solid line, shade below

87.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

88.

When you graph an inequality, you used a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

89.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

90.

Which graph shows the system of linear inequalities?

a)

b)

c)

d)

91.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

92.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

93.

If the inequality symbol is ≤ or ≥, the line will be ___________.

a)

solid

b)

dotted

94.

Is the point (1, 2) a solution for the following inequality?

a)

No, it is located on the line and the line is dotted.

b)

No, it is located in the shaded region.

c)

Yes, it is located in the shaded region.

d)

Yes, it is located on the line.

95.

Is (0,0) a solution to the inequality, y > -x +1?

a)

Yes

b)

No

96.

In order to make some extra money, Brayden is shoveling driveways. He charges $11 to shovel a small driveway and $26 to shovel a large driveway. He would like to make at least $130.

Write an inequality that describes the situation.

Let x = # of small driveways shoveled

Let y = # of large driveways shoveled

a)

11x + 26y ≥ 130

b)

11x + 26y ≤ 130

c)

11x + 26y > 130

d)

11x + 26y < 130

97.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

98.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6
32x + 20y ≤ 150

b)

x + y ≥ 632
x + 20y ≥ 150

c)

x + y ≤ 6
32x + 20y ≤ 150

d)

x + y ≤ 6
32x + 20y ≥ 150

99.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

a)

x + y < 10

2x + 3y ≥ 20

b)

x + y ≤ 10

2x + 3y ≥ 20

c)

x + y ≤ 10

2x + 3y > 20

d)

x + y < 10

2x + 3y > 20

100.

You want to work less than 41 hours each week at your two jobs. You can either clean houses (x) or babysit (y). Write a linear inequality that represents this situation.

a)

x + y < 41

b)

x + y > 41

c)

2x + y < 41

d)

x + 2y > 41

101.

Emily bought two dresses and three pairs of pants. The total amount she paid for the items was more than $980. Write a linear inequality that represents this situation.

a)

2x + 3y < 980

b)

2x + 3y > 980

c)

(1/2)x + (1/3)y < 980

d)

(1/2)x + (1/3)y > 980

Algebra 1 Semester 1 Review

Total questions: 101

Worksheet time: 8hrs 9mins

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