Free Printable Algebra 1 (Midterm Review)

1.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

2.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

3.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

4.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 2

d)

a < 2

5.

Solve:
3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

6.

Is this a function?

a)

Function

b)

Not a Function

7.

a)

Function

b)

Not a Function

8.

Is this table a function or not a function?

a)

Function

b)

Not a Function

9.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

10.

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

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

11.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

12.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

13.

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

14.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

15.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

16.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

17.

Write an inequality for the graph:

a)

x > -2

b)

x < -2

c)

x ≥ -2

d)

x ≤ -2

18.

Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the ? to create a non-function?

a)

1

b)

3

c)

4

d)

7

19.

a)

Function

b)

Not a Function

20.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

21.

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

22.

What is the RANGE?

a)

{-3, 3]

b)

all real numbers

c)

[-4, 5]

d)

[-4, ∞)

23.

What is the DOMAIN?

a)

(4, ∞)

b)

(-4, ∞)

c)

[-3, 3)

d)

(-3, 3]

24.

What is the RANGE?

a)

(-∞, 0)

b)

(0, ∞)

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

25.

What is the RANGE?

a)

all real numbers

b)

[1, ∞)

c)

(-∞, 1]

d)

none of these

26.

What is the range of the function?

a)

[-1, +∞)

b)

(-1,1)

c)

[1.5, +∞)

d)

(-2, 2)

27.

a)

[-3, 2)

b)

(-4, 2]

c)

(-5, 2]

d)

[-4, 2]

28.

a)

(-3, 4)

b)

[-3, 4]

c)

(-1, 4)

d)

[-1, 4]

29.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

30.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

31.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

32.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

33.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

34.

What type of number is π ?

a)

Rational

b)

Irrational

35.

Which number is rational below?

a)

√20

b)

√64

c)

6π

d)

√7

36.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

37.

√4

a)

irrational

b)

rational

38.

Classify this number: 2

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

39.

Classify this number: ⅚

a)

real

b)

real rational

c)

real rational integer

d)

real rational integer whole

40.

Determine if it is a rational or irrational number:
√20

a)

Rational

b)

Irrational

41.

8 is a part of the following sets:

a)

Whole Number

b)

Integer

c)

Rational

d)

All of the above

42.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

43.

An example of a whole number is:

a)

4/9

b)

-9

c)

5.2

d)

17

44.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

45.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

46.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

47.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

48.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

49.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

50.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

51.

Simplify the expression:
3t + 7y + t + 3y

a)

3t + 10y

b)

4t + 10y

c)

4t + 4y

52.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

53.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

54.

Solve:
6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

55.

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

a)

1.2

b)

6

c)

-6

d)

7.5

56.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

57.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

58.

What is the definition of a coefficient?

a)

The letter used to represent a quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number in back of a variable

59.

In this expression, 2x + 6y - 10, which are the coefficients?

a)

2, 6, and -10

b)

x and y

c)

2 and 6

d)

-10

60.

What is the definition of a constant?

a)

The letter used to represent a quantity

b)

The number with no variable

c)

The number in front of a variable

d)

The little number or letter used to raise to a power

61.

An Algebraic Expression has

a)

variables, numbers and operations

b)

numbers

c)

operations and number

62.

What is the "7m" in this expression?
7m - 9

a)

Expression

b)

Variable

c)

Coefficient

d)

Term

63.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

64.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

65.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

66.

Solve the absolute value equation.

a)

{7}

b)

{-7, 7}

c)

{0, 7}

d)

No Solution

67.

True or False: Is x = 4 a solution to |x + 5| = -9

a)

True

b)

False

68.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

69.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

70.

What are the zeros of the function?

a)

x = {1,4}

b)

x = {-5, -2, -1, 3}

c)

x = {-3, -1, 2, 5}

d)

x = {-2,4}

71.

Find the zero(s) for f(x) = -2x+8

a)

x = {4, -4}

b)

x = 4

c)

x = {-2, -8}

d)

x = -8

72.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

73.

(9 + 23) ÷ (5 - 3) =

a)

16

b)

32

c)

15

d)

12

74.

Which operation is performed FIRST?
(13 - 1) + 4

a)

addition

b)

subtraction

c)

multiplication

75.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

76.

Where is point A located?

a)

( 7 , 2 )

b)

( 2 , 6 )

c)

( - 2 , 7 )

d)

( 2 , 7 )

77.

When plotting the point, (-4, 3), which describes the movement along the x-axis and y-axis in the correct order?

a)

4 units right then 3 units up

b)

4 units down then 3 units left

c)

4 units left then 3 units up

d)

4 units up then 4 units right

78.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

79.

Where is the point (-5,0) located?

a)

Quadrant II

b)

Quadrant III

c)

y axis

d)

x axis

80.

Where is the point (0,3) located?

a)

Quadrant I

b)

Quadrant II

c)

y axis

d)

x axis

Algebra 1 (Midterm Review)

Total questions: 80

Worksheet time: 3hrs 40mins

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