Free Printable Algebra 1 Semester 1 Final Review

1.

Solve

a)

x=-1

b)

x=-5

c)

x=5

d)

x=1

2.

Solve for x.
5x - 10 = x + 6

a)

No solution

b)

x = 1

c)

x = 2

d)

x = 4

3.

Solve for x.
5(x + 1) = 5x + 2

a)

x = 5

b)

x = 1

c)

No solution

d)

Infinite solutions

4.

-12 = 6 + x

a)

x = -6

b)

x = -18

c)

x = 18

d)

x = 14

5.

solve for y

-2 = 4x + y

a)

y = -2 + 4x

b)

y = 2 - 4x

c)

y = -2 - 4x

d)

y = 2 + 4x

6.

Solve for y

x = 3y - 24

a)

y = (x + 24)/3

b)

y = x/3 + 24

c)

y = 3x + 24

d)

y = 3(x + 24)

7.

Which inequality represents the real-world situation below?

“Doctors say you should exercise at least 30 minutes every day.”

a)

x $<$ 30

b)

x $>$ 30

c)

x $\le$ 30

d)

x $\ge$ 30

8.

Which inequality represents the real-world situation below?

"A healthy daily diet contains no more than 24 grams of sugar."

a)

x $<$ 24

b)

x $>$ 24

c)

x $\le$ 24

d)

x $\ge$ 24

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

12.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

13.

a)

h > 10

b)

h > -10

c)

h < 10

d)

h < -10

14.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

15.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

16.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

17.

Solve:
|x + 4| - 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < -14

c)

all real numbers

d)

no solution

18.

In the equation, y = mx + b, the letter b is the ___________.

a)

y-intercept

b)

x-intercept

c)

slope

d)

rate of change

19.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

3

c)

4

d)

-4

20.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

21.

Is the relation a function? Why.

a)

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

b)

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

c)

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

d)

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

22.

a)

Function

b)

Not a Function

23.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

24.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

25.

a)

6

b)

-6

c)

14

d)

-14

26.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

27.

What is the y-intercept in the equation x + 2y = 4

a)

(0, 0)

b)

(0, 2)

c)

(4, 0)

d)

(2, 0)

28.

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

a)

b)

c)

d)

29.

Which graph represents y = 3x?

a)

b)

c)

30.

Name the correct equation

a)

y=x+7

b)

y=-x

c)

y=x

d)

y=-x-7

31.

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)

32.

Write the equation of the line in Point-Slope Form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

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

34.

For the equation:

y - 3 = 2(x + 4),

which of the following is TRUE?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

35.

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

a)

1/2

b)

-1/2

c)

2

d)

-2

36.

a)

$f\left(x\right)=\left|x-1\right|$

b)

$f\left(x\right)=\left|x\right|$

c)

$f\left(x\right)=-\left|x\right|$

d)

$f\left(x\right)=-x$

37.

a)

$f\left(x\right)=\left|x-1\right|$

b)

$f\left(x\right)=2\left|x-1\right|$

c)

$f\left(x\right)=\frac{1}{2}\left|x-1\right|$

d)

$f\left(x\right)=-\left|x-1\right|$

38.

Which is the equation for the following graph?

a)

f(x) = 2|x - 1| + 1

b)

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

c)

f(x) = $2\left|x-1\right|-1$

d)

f(x) = $2\left|x+1\right|+1$

39.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

40.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

41.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

42.

What is the y-intercept?

a)

7

b)

5/2

c)

3

d)

-4

43.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

44.

Slope = 4 Point (-2, 1)

a)

y = 4x +9

b)

y=4x-7

c)

y=4x+7

d)

y=4x-9

45.

slope 6
point (1,8)

a)

y = 6x + 2

b)

y = 6x - 2

c)

y = -3/8x + 2

d)

y = 3/8x + 2

46.

Goes through (-3, -4) and (3, 4)

a)

y = 3/4x + 4

b)

y = 3/4x + 0

c)

y = 4/3x + 0

d)

y = 4/3x + 4

47.

Write equation of the line containing (6,3) and (4,1)

a)

y = -1x + 5

b)

y = 1x - 3

c)

y = 1x + 5

d)

y = -1x + 3

48.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

49.

Write the equation of a line PARALLEL to 5x + 2y = 1 that passes through the point (-2, -3).

a)

$y=-\frac{5}{2}x-2$

b)

$y=-\frac{5}{2}x-8$

c)

$y=-\frac{5}{2}x+8$

d)

$y=\frac{2}{5}x+\frac{19}{5}$

50.

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

51.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

52.

Slopes of perpendicular lines are...

a)

opposite (sign) reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

53.

A line is perpendicular to
y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

54.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

55.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

56.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

57.

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

a)

8

b)

11

c)

-11

d)

-8

58.

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

a)

45, 54, 63

b)

49, 59, 69

c)

39, 49, 59

d)

59, 69, 79

59.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

a)

-216

b)

-148

c)

-146

d)

-150

60.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

61.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

62.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

63.

What is the RANGE of the function?

a)

(-∞, +∞)

b)

(-∞, 4]

c)

(-∞, 4)

d)

[0, 4]

64.

What is the DOMAIN of the function?

a)

(-∞, +∞)

b)

(-∞, 4]

c)

(-∞, 4)

d)

[0, 4]

65.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

66.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

67.

Solve for x and y
2x − 3y = −1
y = x − 1

a)

(-2,-3)

b)

(0,-1)

c)

(3,4)

d)

(4,3)

68.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

69.

Solve the system
2x + 3y = 12
5x - y = 13

a)

x = -3, y = -2

b)

x = 1.5, y = 2

c)

x = 6, y = 0

d)

x = 3, y = 2

70.

Which of the following ordered pairs is a solution of the inequality 3x + 2y > 1?

a)

( -1, -5 )

b)

( -5, 4 )

c)

( -6, 0 )

d)

( 2, 4 )

71.

Is the relation a function? Why.

a)

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

b)

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

c)

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

d)

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

72.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

73.

What type of line is used with the following symbols, < and >?

a)

dashed or dotted

b)

solid

74.

Which inequality matches the picture shown?

a)

y < -1/2 x + 5

b)

y < -1/2 x + 5

c)

y > -1/2 x + 5

d)

y > -1/2 x + 5

75.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

76.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

77.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

78.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

79.

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

Algebra 1 Semester 1 Final Review

Total questions: 79

Worksheet time: 20hrs 45mins

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