Free Printable Midterm Review 2023

1.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

2.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

3.

What is the slope?

a)

Undefined

b)

Zero

c)

Positive

d)

Negative

4.

Find the slope of the line shown.

a)

0

b)

Undefinded

c)

4

d)

-4

5.

Which statement best describes "b"?

a)

x-intercept

b)

y- intercept

c)

Slope

d)

Bee

6.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

7.

A rational number can be written as a fraction.

a)

True

b)

False

8.

0.8 is a rational number

a)

True

b)

False

9.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

10.

What number below is a natural, whole, integer, and rational number ?

a)

-4

b)

5.1

c)

0.7

d)

3

11.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

12.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

13.

3c + 5 = 20

(a)

14.

$\frac{m}{2}-1=2$

(a)

15.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

16.

$5x+4=5x+4$

a)

one solution

b)

no solution

c)

infinite solutions

17.

$-2\left(x+1\right)=x-3x-2$

a)

one solution

b)

no solution

c)

infinite solutions

18.

abc=d

Solve for a:

a)

$a=bcd$

b)

$a=\frac{bc}{d}$

c)

$a=\frac{c}{bd}$

d)

$a=\frac{d}{bc}$

19.

w=em+y

Solve for y

a)

$y=w-em$

b)

$y=w+em$

c)

$y=\frac{w}{em}$

d)

$y=wem$

20.

$p=ax+g$ Solve for x

a)

$x=ap+g$

b)

$x=\frac{p-g}{a}$

c)

$x=\frac{p+g}{a}$

d)

$x=ap-g$

21.

The sum of three consecutive odd numbers is 597. What is the smallest number in the group?

a)

198

b)

199

c)

197

d)

196

22.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

23.

Which expressions can be used to represent the sum of 3 consecutive odd integers?

a)

n+1, n+2, n+3

b)

n, n+1, n+3

c)

n, n+1, n+2

d)

n, n+2, n+4

24.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

25.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

26.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

27.

Solve:
-8(x - 3) - 4x < 108

a)

x > -38

b)

x > -14

c)

x > -7

d)

x < -38

28.

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

29.

Solve:

3x + 2 < -4 or 4x + 4 > 28

a)

x < -2 or x > 6

b)

x < 2 or x > 6

c)

x < -2 and x > 6

d)

x < 2 and x > 6

30.

Solve:

6x + 2 < -16 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

31.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

32.

Solve:
|x + 4| + 8 > 2

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

33.

Solve:
|x + 4| - 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < -14

c)

all real numbers

d)

no solution

34.

What kind of slope does the line have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

35.

What is the y-intercept in the equation $y=-2x+5$

a)

-2

b)

3

c)

5

d)

Cannot be Determined

36.

What is the slope in the equation $y=2x+3$

a)

2

b)

3

c)

5

d)

Cannot be Determined

37.

Which Graph is Linear?

a)

1st

b)

2nd

c)

3rd

d)

None

38.

Find the slope-intercept equation

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 1/4x - 6

d)

y = -1/4x + 6

39.

Find the slope-intercept equation

a)

y = 2x + 3

b)

y = -2x +3

c)

y = ¹/₂ x+3

d)

^{y = -1}/₂ x+3

40.

Find the slope-intercept equation

a)

y = x - 2

b)

y = -x - 2

c)

y = -2x

d)

y = -2

41.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

42.

Find the slope given the two points (-4, 10) and (-6, 8).

a)

-2

b)

2

c)

-1

d)

1

43.

Find the slope given the two points (5, -6) and (12, -20).

a)

-1

b)

1

c)

-2

d)

2

44.

What is the slope formula?

a)

b)

c)

d)

45.

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

46.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

47.

Put this into standard form:

y = 3x + 2

a)

y + 3x = 2

b)

3x + y = 2

c)

3x - y = -2

d)

3x - 2y = 2

48.

Put this into standard form:

8x = 9y + 10

a)

8x - 10 = 9y

b)

9y - 8x = 10

c)

8x + 9y = 10

d)

8x - 9y = 10

49.

What is the y-intercept of

2x - 5y = 35?

a)

(0,-7)

b)

(-7,0)

c)

(35/2, 0)

d)

(0,35/2)

50.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

51.

Name the x- and y-intercepts for the equation: 4x - 10y = 20

a)

(4, 0) and (0, -10)

b)

(5, 0) and (0, 2)

c)

(5, 0) and (0, -2)

d)

(4, 0) and (0, -10)

52.

Level 3

Which two equations below are parallel?

a)

y = 2x + 1 and y = -1/2x + 1

b)

y = 2x + 3 and y = -2x + 3

c)

y = 2x - 1 and y = 1/2x - 1

d)

y = -x + 4 and y = -x + 2

53.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

54.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

55.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

56.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

57.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

58.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

59.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

60.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

61.

Is the graph pictured a function?

a)

Yes

b)

No

62.

Evaluate f(x)=-2t²+ 1 for f(2)

a)

9

b)

17

c)

-17

d)

-7

63.

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

a)

-1

b)

1

c)

5

d)

-5

64.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

65.

What is the function of the table?

a)

y=x+3

b)

y=x*3

c)

y=x÷3

d)

y=x-3

66.

Write the equation.

a)

f(x) = 3x - 7

b)

f(x) = 3x - 1

c)

f(x) = 3x - 4

d)

f(x) = 2x + 3

67.

Describe the transformation on f(x):

f(x) + 3

a)

vertical stretch of 3

b)

shifts 3 units to the right

c)

shifts 3 units up

d)

shifts 3 units left

68.

Describe the transformation on f(x):

2 f(x)

a)

shifts 2 units up

b)

shifts 2 units to the right

c)

vertical shrink, wider

d)

vertical stretch, more narrow

69.

Identify the domain of the following relation:

a)

-6, 14, 2, 28

b)

(-6,14), (0,32), (2,38), (4,44)

c)

-6, 0, 2, 4

d)

14, 32, 38, 44

70.

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}

d)

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

71.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

72.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

73.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

74.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

75.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

76.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

77.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

78.

Identify the common difference.
3, 7, 11, 15, ...

a)

6

b)

5

c)

4

d)

2

79.

An arithmetic sequence is given below.

16, 13, 10, 7, ...

Which is the explicit formula for the n^th term a_n?

a)

a_n= -3n+19

b)

a_n= -5n+13

c)

a_n= 3n+13

d)

a_n= -5n+20

80.

Write the recursive formula for 6, 17, 28, 39, 50....

a)

a_n=a_n-1+11
a₁=6

b)

a_n=a_n-1-4
a₁=6

c)

a_n=a_n-1+9
a₁=6

d)

a_n=a_n-1+6
a₁=6

81.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

82.

Solve the system of equations by graphing.

a)

(4, 7)

b)

(3, 5)

c)

(6, 7)

d)

(5, 3)

83.

Solve the system of equations by graphing.

a)

(-3, 2)

b)

(-3, 6)

c)

(-3, -2)

d)

(-3, -6)

84.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

85.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

86.

Solve by elimination
-2x + 6y = 16
-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

87.

Solve:

x = -3y - 17

2x + 3y = -7

a)

(1, -20)

b)

(10, 0)

c)

(-5, -2)

d)

(10 , -9)

88.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

89.

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

a)

Solution

b)

Not a solution

90.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

91.

Which inequality is shown in the graph?

a)

y < 2x + 1

b)

y < -2x + 1

c)

y ≤ 2x + 1

d)

y ≤ -2x + 1

92.

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

a)

≤, ≥

b)

<, >

93.

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

a)

<, >

b)

≤, ≥

94.

If I have a system of parallel inequalities the answer is always no solution?

a)

True, the shaded regions will not overlap

b)

False, the shaded regions could overlap

Midterm Review 2023

Total questions: 94

Worksheet time: 8hrs 50mins

Similar Resources on Wayground