Free Printable Fall 2024 - Algebra 1A Final Review

1.

Combine like terms to simplify the expression

$10x-8x+2+10$

2.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

3.

Simplify the following expression:
-9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

4.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

5.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

6.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

7.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

8.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

9.

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

a)

c = 3.00 - 0.15m

b)

c = 0.15 + 3.00m

c)

3.00 = c + 0.15

d)

c = 3.00 + 0.15m

10.

Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.

a)

y = 50 - 90x

b)

y = 90x + 50

c)

y = -50x + 90

d)

y = -90 - 50x

11.

Solve: $5\left(-5m+5\right)-20=80$

(a)

12.

Solve: $-72=-6\left(a+4\right)-6a$

(a)

13.

3 ( x + 1 ) - 5 = 5x -2

a)

x = -1

b)

x = 0

c)

x = -2

d)

x = 1

14.

4(2a + 3) = −3(a − 1) + 31

a)

a = 4

b)

a = -2

c)

a = -4

d)

a = 2

15.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

16.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

17.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

18.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

19.

Solve the inequality:

–2x > –10

a)

x > 5

b)

x < 5

c)

x > –5

d)

x < –5

20.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

21.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

22.

$4x-6>6x-20$

a)

$x<7$

b)

$x<-7$

c)

$x>7$

d)

$x>-$

23.

The following mapping is (a) because (b) .

Choose from the below words

a function

each input maps to exactly one output.

not a function

both a function and one-to-one

each output maps to exactly one input

neither the x's or y's repeat

24.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

25.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

26.

Given f(x) = -x + 12, find f(-2).

(a)

27.

Given f(x) = x² + 3x + 1, find f(-4).

(a)

28.

Given $f\left(x\right)=\frac{x}{2}-x$ , find $f\left(-6\right)$ .

(a)

29.

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}

30.

Find the DOMAIN

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

31.

What is the range?

a)

{-2,2,5}

b)

{1,3,5,6}

c)

all real numbers

d)

-2<y<5

32.

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}

33.

What is the range of the following table?

a)

{1, 0} {2, 3} {3, 6} {4,9}

b)

{0, 3, 6, 9}

c)

{1, 2, 3, 4}

d)

{1, 2, 3, 4, 0, 3, 6, 9}

34.

What is the domain?

a)

$-2\le y\le2$

b)

$-4\le x\le4$

c)

$-2\le x\le2$

d)

$-4\le y\le4$

35.

What is the domain of the graph?
Remember: Domain is the "x" values from left to right

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

36.

What is the range of the graph?
Remember: Range is the "y" values (up and down)

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

37.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

38.

What is the RANGE?

a)

y < -3

b)

y > -3

c)

y > 1

d)

All Real Numbers

39.

What is the RANGE

a)

x ≥ 0

b)

x ≤ 0

c)

y ≥ 1

d)

y ≤ 1

40.

(a) represents the DOMAIN.

(b) represents the RANGE.

Choose from the below words

$-2\le x<4$

$-3\le p\left(x\right)<1$

$-3<p\left(x\right)\le1$

$-2\le p\left(x\right)<4$

$-2\le x\le4$

41.

This line has a slope that is...

a)

positive

b)

negative

c)

zero

d)

undefined (no slope)

42.

This line has a slope that is...

a)

positive

b)

negative

c)

zero

d)

undefined

43.

The slope in this equation is...

y=3x+19

a)

3x

b)

3

c)

19

d)

y

44.

The slope in this equation is...

y=-2x+31

a)

-2x

b)

-2

c)

31

d)

2

45.

What is the rate of change?

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

F

b)

G

c)

H

d)

J

48.

a)

A

b)

B

c)

C

d)

D

49.

(a)

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

Write the equation of the line in Slope-Intercept Form. ( $y=mx+b$ )

53.

Identify the slope-intercept equation:

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

54.

Which equation matches the graph? (Click me to see the image)

a)

y = -1/4x + 2

b)

y = 1/4x + 2

c)

y = 1x + 4

d)

y = 4x + 2

55.

Write an equation in slope-intercept form from the points (0, 3) and (-4, -1)

a)

y = x + 3

b)

y = x - 3

c)

y = x + 1

d)

y = 3x + 1

56.

Write an equation in slope-intercept form from the points (-4, -2) and (-3, 5)

a)

y = 1/7x

b)

y = 1/7x + 26

c)

x = 7y + 26

d)

y = 7x + 26

57.

Write an equation for the table relating x and y in slope-intercept form.

a)

y = 2x + 2

b)

y = -3x + 2

c)

y = 6x + 5

d)

y = -2x - 2

58.

What is the equation for the table above?

a)

y = -3x + 20

b)

y = 3x + 20

c)

y = -1/3x + 20

d)

y = 6x - 2

59.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

60.

Write the equation in slope-intercept form: 2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

61.

Solve for y:
8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

62.

Solve this equation for y:
$-6x+3y=9$

a)

y = 2x + 9

b)

y = 6x - 3

c)

y = 2x + 3

d)

y = 6x + 9

63.

Solve this equation for y:
$10x\ -5y=30$

a)

y = 2x - 6

b)

y = -2x + 6

c)

y = -10x + 30

d)

y = 10x - 30

64.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -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)

65.

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

66.

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

67.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

68.

What is the y-intercept?

a)

-4

b)

3

c)

4

d)

4/3

69.

What is the zero of the function, if any?

a)

x = 0

b)

x = 5

c)

x = 6

d)

The function has no zero

70.

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?

a)

The water level increased by 0.25 ft per day.

b)

The maximum water level was 19.5 ft.

c)

The initial water level was 16 ft.

d)

The water level was measured for 14 days.

71.

The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?

a)

(1/3, 0)

b)

(0,-2)

c)

(0, 1/3)

d)

(-2,0)

72.

Which graph shows y as a function of x?

a)

b)

c)

d)

73.

Which coordinates are an example of an X-INTERCEPT?

a)

(3, 0)

b)

(0, 3)

c)

(3, 3)

74.

Which coordinates are an example of an Y-INTERCEPT?

a)

(3, 0)

b)

(0, 3)

c)

(3, 3)

75.

What is the X-INTERCEPT of the graph?

a)

(3, 0)

b)

(0, 3)

c)

(1, 0)

d)

(0, 1)

76.

What is the X-INTERCEPT of the graph?

*no spaces

(a)

77.

What is the X-INTERCEPT of the table?

a)

(0, -4)

b)

(2, 0)

c)

(-1, -6)

d)

(3, 2)

78.

What is the Y-INTERCEPT of the table?

a)

(0, -4)

b)

(2, 0)

c)

(-1, -6)

d)

(3, 2)

79.

what is the SLOPE of the graph?

a)

1/4

b)

1/2

c)

2

d)

4

80.

what is the SLOPE of the graph?

a)

-1

b)

1

c)

-2

d)

2

Fall 2024 - Algebra 1A Final Review

Total questions: 80

Worksheet time: 7hrs 40mins

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