Free Printable Algebra 1 Semester Mid-term Review

1.

Evaluate:

$\left(y+z\right)^2$

when y = -4 and z = -3

(a)

2.

Evaluate:

$4\left(cb+c\right)$

when b = 4 and c = 3

(a)

3.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

4.

Which matches the expression below?

a)

The quotient of a number and seven, decreased by four.

b)

Four more than a number divided by seven.

c)

The difference of a number divided by seven and four.

5.

Match the sentence to the correct inequality

Two times the sum of a number and 28 is at least 21

a)

$2\left(x\ +\ 28\right)\ \ge21$

b)

$2x\ +\ 28\ \ge21$

c)

2x + 28 $>$ 21

d)

2 ( x + 28) < 21

6.

Solve:
C = 2πr, for r

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

7.

pV = nRT

solve for n

a)

n= pV/RT

b)

n= p/R + V/T

c)

n= pV - RT

d)

n= (pV-R)/T

8.

How many solutions will this equation have?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

9.

How many solutions will this equation have?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

10.

$-2\left(x+11\right)=-18$

a)

$x=-2$

b)

$x=2$

c)

No Solution

d)

Infinite Solutions

11.

Solve for x: $x=\frac{-3+5}{2}$

a)

x=3

b)

x=1

c)

x=-1

d)

x=-4

12.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

13.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

14.

$3\ \left(x-8\right)=3x-24$

a)

No Solution

b)

One Solution

c)

Infinite Solutions

15.

$2\left(m+3\right)=2m+12$

a)

No Solution

b)

One Solution

c)

Infinite Solutions

16.

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

17.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

18.

Solve -2x - 3 ≤ 13

a)

x ≥ 8

b)

x ≥ -8

c)

x ≤ 8

d)

x ≤ -8

19.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

20.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

21.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

22.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

23.

Write an inequality from the sentence:

Negative 4 times a number and 10 is smaller than -10

a)

-4(x + 10) < -10

b)

-4x < -10

c)

4x + 10 < -10

d)

-4x + 10 < -10

24.

Solve.

a)

x ≤ 14

b)

x < 14

c)

x ≥ 14

d)

x = 14

25.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

26.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

27.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

28.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

29.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

30.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she can spend no more than $35 in all.

a)

.50x + 20 ≥ 35

b)

.50x < 35

c)

20 + .50x ≤ 35

d)

.50x - 20 = 35

31.

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

a)

x = -6

b)

x = 6

c)

x = 3

32.

Which of these sets is the RANGE of the graph?

a)

{0, 6, 12, 18}

b)

{-2, 0, 2, 4}

c)

{-2, 2, 4}

d)

{6, 12, 18}

33.

Which number is not an element of the domain?

a)

2

b)

1

c)

0

d)

6

34.

What is the domain when the range is 3?

(a)

35.

What is the domain of this graph?

a)

{-2 ≤ x ≤ 4}

b)

{-5 ≤ x ≤ 4}

c)

{-4, 0, -2}

d)

{-4 ≤ x ≤ 2}

36.

Do these ordered pairs represent a function?

(1, 2), (3, 4), (5, 6), (7, 8)

a)

Yes

b)

No

c)

Not sure

37.

Do the ordered pairs represent a function?

(-1, 5), (6, 10), (-1, 7), (5, 2)

a)

Yes

b)

No

c)

Not sure

38.

Does the map represent a function?

a)

No

b)

Yes

39.

Does this graph pass the vertical line test?

a)

Yes

b)

No

c)

Don't know

40.

Does this graph pass the vertical line test?

a)

Don't know

b)

No

c)

Yes

41.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

42.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(1/4, 2)

d)

No Solution

43.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

44.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

45.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

46.

What is the solution to this system of equations?

a)

(1,3)

b)

(-2,3)

c)

(3,1)

d)

(3,-1)

47.

Which of the following inequalities matches the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

48.

How can I tell if an inequality will have a solid line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

49.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

50.

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

51.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

52.

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

a)

Solution

b)

Not a solution

53.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

54.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

55.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

56.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

57.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

58.

What is the y intercept of this line?

a)

2

b)

-2

c)

3

d)

-3

59.

What is the slope?

a)

1/2

b)

2

c)

7

d)

3

60.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

61.

Given h(x) = 5 - 9x, find h(8).

62.

If f(x) = 7, what is the value of x?

f(x) = 3x+1

a)

2

b)

$\frac{8}{3}$

c)

3

d)

8

63.

If f(x) = -4, what is the value of x?

$f\left(x\right)=-4+\frac{x}{3}$

a)

0

b)

1

c)

-3

d)

3

64.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

65.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

66.

a)

$\left\{-1,1\right\}$

b)

$\left\{-1,0,1\right\}$

c)

$\left\{-4,-2,8\right\}$

d)

$\left\{-4,-2,-1,0,1,8\right\}$

67.

What is the domain of the relation?

a)

$\left\{-1,0,1,3\right\}$

b)

$\left\{-2,0,1,3\right\}$

c)

$\left\{-2,-1,0,1,2,3\right\}$

d)

$\left\{0,1,2,3\right\}$

68.

What is the domain of the relation?

a)

$\left[0,\infty\right]$

b)

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

c)

$\left[-6,4\right]$

d)

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

69.

What is the range of the relation?

a)

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

b)

$\left(-\infty,4\right)$

c)

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

d)

$\left(-\infty,6\right]$

70.

Is the relation a function?

a)

Yes

b)

No

71.

What is the y-intercept?

a)

(6, 0)

b)

(0, 6)

c)

(-3, 0)

d)

(0, -3)

72.

Evaluate f(2).

a)

f(2) = 5

b)

f(2) = 12

c)

f(2) = 10

d)

f(2) = 0.5

73.

Evaluate for f(2)

a)

-3

b)

0

c)

4

d)

7

74.

Find $f\left(-2\right)$

a)

f(x) = 9

b)

f(x) = -9

c)

f(x) = -15

d)

f(x) = 21

75.

Find f(10). If f(x)= -4x -10

a)

x = -5

b)

x = 40

c)

x = -40

d)

x = -50

76.

Use the graph to solve $f\left(x\right)=4$

a)

x=2

b)

x=6

c)

x=3

d)

Not possible

77.

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

a)

4

b)

0

c)

3

d)

8

78.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

79.

Is this table a function or not a function?

a)

Function

b)

Not a Function

80.

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)

81.

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

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

82.

What is the range?

a)

-3 < y ≤ 3

b)

-4 ≤ y < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y < 3

Algebra 1 Semester Mid-term Review

Total questions: 82

Worksheet time: 6hrs 7mins

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