Free Printable 1st Semester Final Review

1.

What is the first step to rewrite the equation in slope intercept form?

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

2.

For the equation: 3x - 2y = 6

A = (a) B = (b) C = (c)

Choose from the below words

3

-2

6

2

3.

Rewrite the equation in Slope-Intercept Form.

5x + 3y = -15

What is the y - intercept?

b = : (a)

Choose from the below words

-5

3

-15

4.

Which equation is in point-slope form?

a)

3x + 2y = 12

b)

y + 2 = 1/4(x + 4)

c)

y = 4x + 6

d)

2y = 5x - 7

5.

Select the slope-intercept form of a linear equation.

a)

y=mx+b

b)

$y-y_1=m\left(x-x_1\right)$

c)

$Ax+By=C$

6.

Select the standard form of a linear equation.

a)

y=mx+b

b)

$y-y_1=m\left(x-x_1\right)$

c)

$Ax+By=C$

7.

Select the point-slope form of a linear equation.

a)

y=mx+b

b)

$y-y_1=m\left(x-x_1\right)$

c)

$Ax+By=C$

8.

Select the slope of the following line:

y-2=\frac{1}{2}\left(x+5\right)

a)

$\frac{1}{2}$

b)

$-2$

c)

$5$

9.

Which of the points was plugged into the equation?

$y-2=5\left(x+1\right)$

a)

(-2,1)

b)

(2,-1)

c)

(-1,2)

d)

(1,-2)

10.

Select the equation of a line that has the following slope and goes through the given point:

$m=\frac{1}{2},\ \left(2,5\right)$

a)

$y-5=\frac{1}{2}\left(x-2\right)$

b)

$y+5=\frac{1}{2}\left(x+2\right)$

c)

$y-2=\frac{1}{2}\left(x-5\right)$

d)

$y+2=\frac{1}{2}\left(x+5\right)$

11.

convert to slope intercept form:
y - 3 = 4(x + 2)

a)

y = 4x - 11

b)

y = 4x + 11

c)

y = 4x - 5

12.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

nothing

13.

Given the graph, the slope is (a) and the y-intercept is

(b) .

Choose from the below words

$\frac{3}{4}$

(0,-3)

(-3,0)

(4,0)

(0,4)

$-\frac{3}{4}$

$\frac{4}{3}$

$-\frac{4}{3}$

14.

Given: $y=-\frac{1}{3}x+5$ , find the slope and y-intercept. (Choose 2 answers)

a)

Slope: $-\frac{1}{3}$

b)

y-intercept: $5$

c)

Slope: $5$

d)

y-intercept: $-\frac{1}{3}$

e)

Slope: $-\frac{1}{5}$

15.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

16.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

17.

What is the slope of the graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

18.

How would you write the equation with a slope of -3 and a y-intercept of 1

a)

y= -3x + 1

b)

y= -x - 3

c)

y= -3x - 1

d)

y= x + 3

19.

Graph: $y=\frac{3}{2}x+3$

20.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

21.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

22.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

23.

Which of the following are written in standard form?

a)

y=3x-5

b)

3x+16=5y

c)

2/3 x + 9/13 y = 21

d)

5x+7y=-12

24.

Write the slope intercept form of the equation x - 3y = 6

a)

y = -x - 2

b)

y = x + 2

c)

y = 1/3x - 2

d)

y = -1/3x + 2

25.

Write the equation in Slope-Intercept Form.

Then, find the slope and y-intercept of:

2x - 3y = -12

a)

slope = 2/3, y-intercept = -12

b)

slope = -2/3, y-intercept = -3

c)

slope = 2/3, y-intercept = 4

d)

slope = -12, y-intercept = -3

26.

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

27.

what is the first step to solve for slope intercept form on

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

28.

The y-intercept is (a) and the slope is (b)

Choose from the below words

(0,-3)

$\frac{3}{4}$

(-3,0)

(4,0)

(0,4)

$\frac{4}{3}$

$-\frac{3}{4}$

$-\frac{4}{3}$

29.

Given: $y=-\frac{1}{3}x+5$ , the slope is (a) and the y-intercept is (b)

Choose from the below words

$-\frac{1}{3}$

5

-5

$\frac{1}{3}$

$\frac{3}{1}$

$-\frac{3}{1}$

30.

Given: $y=\frac{3}{5}x$ , the slope is (a) and the y-intercept is (b)

Choose from the below words

$\frac{3}{5}$

0

1

$\frac{5}{3}$

$-\frac{3}{5}$

$-\frac{5}{3}$

31.

Which graph represents the function: $y=-\frac{1}{2}x-2$

a)

b)

32.

Which graph represents the function: $y=\frac{3}{2}x+3$

a)

b)

c)

d)

33.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

34.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

35.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

36.

The line with the equation

$y+1=-3(x-5)$ ,

and has a slope of (a)

Choose from the below words

$-3$

$3$

$1$

$-5$

37.

The line with the equation

$y-2=4(x+8)$ ,

contains the point

a)

$\left(-8,2\right)$

b)

$\left(8,2\right)$

c)

$\left(8,-2\right)$

d)

$\left(-2,8\right)$

38.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

39.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

40.

Convert the equation of the line

y - 2 = 9(x + 1)

into slope intercept form.

a)

y = 9x + 11

b)

y = 9x + 7

c)

y = 9x + 3

d)

y = 9x + 13

41.

What is the slope of the following equation?

y-4=-\left(x+2\right)

a)

1

b)

-1

c)

2

d)

-4

42.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

43.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

44.

Find the solution:
10 = 4x - 2

a)

x = 3

b)

x = 2

c)

x = -3

d)

x = -2

45.

Which equation has a solution of x = 1

a)

2x + 1 = 12

b)

5x - 2 = 3

c)

x + 1 = x - 1

d)

5 - x = 6

46.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

47.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

48.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

49.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

50.

Solve -20 = -4x - 6x

a)

x = -2

b)

x = 10

c)

x = 2

d)

x = -10

51.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

52.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

53.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

54.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

55.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

56.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

57.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

58.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

59.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

60.

Write the word sentence as an inequality:

A number a is more than 6.

a)

a < 6

b)

a > 6

c)

a = 6

d)

a $\ge$ 6

61.

Tell whether the given value is a solution of the inequality:

y + 5 < 13; y = 17

a)

Solution

b)

Not a solution

62.

Tell whether the given value is a solution of the inequality:
b / 2 $\ge$ 6 ; b = 10

a)

Solution

b)

Not a solution

63.

Inequalities have how many answers?

a)

one

b)

none

c)

many

64.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

65.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

66.

Solve

a)

n < 6

b)

n > 6

c)

n < 14

d)

n > 14

67.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

68.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

69.

What is the first step in solving this equation?
$\frac{m}{8}\ =\ 5$

a)

add 8 on both sides

b)

subtract 8 on both sides

c)

multiply 8 on both sides

d)

divide by 8 on both sides

70.

What is the second step in solving the equation?

5b - 6 = 24

a)

add 6 on both sides

b)

subtract 6 on both sides

c)

multiply 5 on both sides

d)

divide by 5 on both sides

71.

What is the next step to solving the equation?

5(x+3) + 9x= 6x -12

5x+ 15 +9x= 6x -12

a)

distribute

b)

add/subtract

c)

inverse

d)

combine like terms

72.

Does the inequality sign flip?
2x < 20

a)

Yes

b)

No

73.

Does the inequality sign flip?
3x - 7 < -22

a)

Yes

b)

No

74.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

75.

Decide if the inequality is open circle or closed circle: 4x > 16

a)

Open Circle

b)

Closed Circle

c)

Flip the sign

d)

I don't know

76.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

77.

Which of the following represent a line with a zero slope?

a)

x = 5

b)

y = 5

c)

x = 0

d)

all of the above

78.

Does the following equation represent a vertical line, a horizontal line, or neither?

y = −3

a)

vertical

b)

horizontal

c)

neither

79.

Which is the correct graph for x = 2?

a)

A

b)

B

c)

C

d)

D

80.

Which is the correct graph for y = 3?

a)

A

b)

B

c)

C

d)

D

81.

What would the graph of y = 8 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

82.

Which graph matches the equation y = 4?

a)

b)

c)

d)

83.

What is the equation of the line graphed?

a)

y = 4

b)

x = 4

c)

y = -4

d)

x = -4

84.

What is the equation of the graphed line?

a)

y = 3

b)

y = 3x

c)

x = 3

d)

x = 3y

85.

Graph x = -6.

86.

Graph x = 8

87.

Write the equation of the line shown.

a)

y = 0

b)

y = -3

c)

x = -3

d)

y = -3x

e)

x = 0

88.

Describe the direction of a vertical line.

a)

up and down

b)

side to side/left to right

89.

Describe the direction of a horizontal line.

a)

up and down

b)

side to side/left to right

90.

Write the equation of the line shown.

a)

x = -7

b)

y = -7

c)

y = -7x

d)

y = 0

e)

x = -7y

91.

Graph y = -7.

92.

Graph y = 3.

93.

y = 0

94.

x = 0

95.

x = 8

96.

y = 6

1st Semester Final Review

Total questions: 96

Worksheet time: 6hrs 46mins

Similar Resources on Wayground