Free Printable ALGEBRA REVIEW

1.

Combine the like terms in the expression:

12x + 2 + 3x

a)

9x + 2

b)

15x + 2

c)

There are no like terms

d)

13x

2.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

3.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

4.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

5.

Solve 5x + 7 = -13

a)

x=4

b)

x=-4

c)

x=5

d)

x=-5

6.

Solve for x.

a)

55

b)

60

c)

15

d)

35

7.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

8.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

9.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

10.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

11.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

12.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

13.

Which equation matches the graph?

a)

y = 5

b)

y = -5

c)

x = -5

d)

x = 5

14.

Convert the standard form equation into slope-intercept form.
6x - y = 1

a)

y = -x + ⅙

b)

y = 6x - 1

c)

x = ⅙

d)

y = 27, 239, 430

15.

What is the equation of the line?

a)

y = (-5/6)x

b)

y = (5/6)x

c)

y = 5x + 6

d)

y = (6/5)

16.

Which equation matches the graph?

a)

y= 3x - 5

b)

y= -3x - 5

c)

y= 3x + 5

d)

y= 3x + 5

17.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

18.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

19.

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

a)

3

b)

4x

c)

4

d)

x

20.

What is the equation of the line?

a)

y\ =\ \frac{-3}{4}x\ +\ 3

b)

$y\ =\frac{4}{5}x+3$

c)

$y\ =\frac{-4}{5}x+3$

d)

$y\ =\frac{-4}{5}x$

21.

What is the y-intercept of the line?

a)

(0,-3)

b)

(0,4)

c)

(0,5)

d)

(0,0)

22.

_{What is the y-intercept of the line?}

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

23.

Find the slope of the line.

a)

2/7

b)

-2/7

c)

7/2

d)

-7/2

24.

Graph y=1/4x+2

25.

Graph y=4x-3

26.

Graph y= $-\frac{1}{2}x-3$

27.

Graph y= $\frac{4}{3}x+3$

28.

Graph y= $\frac{1}{3}x-5$

29.

Graph y= $4x+1$

30.

Graph y= $\frac{4}{3}x-6$

31.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

32.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

33.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

34.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

35.

a)

A)

b)

B)

c)

C)

d)

D)

36.

$<$ is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

37.

$\ge$ is an inequality symbol that tells us our solution is ___________ a value

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

38.

Which inequality correctly matches what is graphed on the number line?

a)

$x=6$

b)

$x\ge6$

c)

$x<6$

d)

$x\le6$

39.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

40.

Which of the following inequalities matches the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

41.

Which of the following inequalities matches the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

42.

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

43.

Is this graph shaded above or below?

a)

above

b)

below

44.

What is the graph of the linear inequality:

y\le-6x+5

a)

b)

c)

d)

45.

What is the graph of the linear inequality:

y>-3x+4

a)

b)

c)

d)

46.

What is the graph of the linear inequality:

y>x+5

a)

b)

c)

d)

47.

Determine whether point A is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

48.

Determine whether point (-2,-3) is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

49.

This is a graph of which inequality?

a)

y > 4x - 2

b)

y > -2x + 4

c)

y < -2x

d)

y < 4X - 2

50.

Which inequality describes this graph...

a)

y < 3x - 2

b)

y > 3x + 2

c)

y < 3x + 2

d)

y > 3x -2

51.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

52.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

53.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

54.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

55.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

56.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

57.

Identify the y-intercept

a)

(-1,9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

58.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

59.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

60.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

61.

What divides the parabola into 2 perfect halves?

a)

Axis of Symmetry

b)

Vertex

c)

Axis of Doom

d)

x - intercept

62.

What is another word for ROOTS?

a)

Zeros

b)

y-intercept

c)

Maximum

d)

Vertex

63.

What is the axis of symmetry?

a)

x = -1

b)

x = -2

c)

y = -1

d)

y = -2

64.

What's the vertex of the parabola?

a)

(-2,4)

b)

(-1,1)

c)

(0,0)

d)

(2,4)

65.

What is the name given to the point (4 , -9)?

a)

just a plain point

b)

root

c)

y-intercept

d)

vertex

66.

What is the significance of the vertex in a parabola?

a)

It represents the maximum or minimum value of the function.

b)

It indicates the axis of symmetry of the parabola.

c)

It determines the direction in which the parabola opens.

d)

It is the point where the parabola intersects the x-axis.

67.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

68.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

69.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

70.

Find the vertex of y = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

71.

What is the "formula" for finding the axis of symmetry?

a)

$y=ax^2+bx+c$

b)

$x=\frac{-b}{2a}$

c)

$y=mx+b$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

72.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

ALGEBRA REVIEW

Total questions: 72

Worksheet time: 5hrs 23mins

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