Free Printable Review

1.

What is the solution to the system of equations shown on the grid?

a)

(-2,3)

b)

(3,-2)

2.

What is the solution to the system of equations represented by these tables?

a)

(3,-2)

b)

(1,6)

c)

(2,9)

d)

(2,2)

3.

What is the solution to the system of equations below?

3x-2y=6

5x-5y=10

a)

(2,0)

b)

(0,2)

c)

(-2,0)

d)

(0,-2)

4.

Solve for "y" using the method of substitution.

a)

y = 10

b)

y = -10

5.

Solve the system of equations using the method of substitution.

a)

(-1,-2)

b)

(-2,-1)

c)

(1,2)

d)

(2,1)

6.

Solve the following system of equations

a)

(3,3)

b)

(3,0)

c)

(0,-3)

d)

(-3,0)

7.

Solve the following systems of equations.

a)

(0,0)

b)

No solution

c)

Infinitely many solutions

8.

Solve the system of equations using the method of elimination.

x-y=11

2x+y=19

a)

(10,1)

b)

(10,9)

c)

(10,-1)

d)

(0,10)

9.

Solve the system of equations using the method of elimination.

3x-2y=2

5x-5y=10

a)

No solution

b)

Infinitely many solutions

c)

(-2,-4)

d)

(-4,-2)

10.

Solve the system of equations using the method of elimination.

16x-10y=10

-8x-6y=6

a)

(0,1)

b)

(1,0)

c)

(-1,0)

d)

(0,-1)

11.

What is a line in standard form that passes through the points (6,7) and (12,10)

a)

2x-y = 14

b)

-x+2y=8

c)

x-2y=10

d)

x-2y=-8

12.

What is the slope of a line that is parallel to the equation y=1/4 x-7

a)

-4

b)

-1/4

c)

1/4

13.

What is the slope of a line that is perpendicular to the equation y = -6x+1?

a)

-6

b)

-1/6

c)

1/6

14.

Write the line 2x-6y=36 in slope intercept form.

a)

y = $-\frac{1}{3}x$ -6

b)

y = $\frac{1}{3}x$ + 6

c)

y = $-\frac{1}{3}x$ + 6

d)

y = $\frac{1}{3}x$ - 6

15.

Write an equation of a line that goes through the point (-3,-6) and is parallel to the x-axis

a)

x = -3

b)

y = -6

16.

HEB is selling oranges for $2 each and apples for $1.75 each. They are hoping to make $40 in fruit sales. Set up an equation in standard form to represent this situation.

a)

2x + 1.75y = 40

b)

1.75x + 2y = 40

c)

40x + 2y = 1.75

d)

1.75x + 40y = 2

17.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

18.

Write an inequality represented by the graph.

a)

x < - 3

b)

y < - 3

c)

x > - 3

d)

x ≥ - 3

19.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

20.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

21.

Name the x- and y-intercepts for the equation: 2x + y = 6

a)

(0,3) and (6,0)

b)

(0,-3) and (-6,0)

c)

(3,0) and (0,6)

d)

(-3,0) and (0,-6)

22.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

23.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

24.

The function y = 125(1.13)^xrepresents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?

a)

Mr. Gantz initial invested $125

b)

Mr. Gantz's money grows by 13% per year

c)

After 4 years Mr. Gantz will have about $203.81

d)

Mr. Gantz earns more money in year one than in year 5

25.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D

26.

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

27.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

28.

The x-intercepts of a quadratic equation are known as the _____.

a)

vertices

b)

squares

c)

zeros

d)

formulas

29.

How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

30.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

31.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

32.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

33.

Factor and solve:
14=2x²- 12x

a)

x=7,1

b)

x=-7,1

c)

x=-1,7

d)

No solution

34.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

35.

Simplify each expression using exponential notation:

$\frac{6^3k^{15}}{6^7k^{19}}$

a)

$k^46^4$

b)

$\frac{k^4}{6^4}$

c)

$6^4k^4$

d)

$\frac{6^4}{k^4}$

36.

3x³y ⋅2x⁸y⁵

a)

5x¹¹y⁶

b)

6x¹¹y⁶

c)

6x²⁴y⁵

d)

3x¹¹2y⁵

37.

x⁵y² ⋅ 4x³y⁷

a)

4x⁸y⁹

b)

x⁸y⁹

c)

4x¹⁵y¹⁴

d)

5x⁸y⁹

38.

\left(4qm^2p^2\right)^4

a)

$16q^5m^6p^6$

b)

$256q^4m^8p^8$

c)

$16q^4m^6p^6$

d)

$256q^5m^6p^6$

39.

Simplify

a)

x²⁸y¹² / x²y

b)

x²⁸y¹² / x⁸y⁴

c)

x²⁰y⁸

40.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $54 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38

2s + 3c = 54

b)

3s + 1c = 38

3s + 2c = 54

c)

s + c = 38

s + c = 54

d)

3s + 3c = 38

1s + 2c = 54

41.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

the same line (coinciding lines)

42.

The equations y = $-\frac{2}{3}x\ +\ 2$ and y = $\frac{3}{2}x\ +9$ are

a)

Parallel

b)

Perpendicular

c)

Neither

43.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

44.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

45.

In the equation y = $-\frac{4}{5}x\ +8$ , what is the y-intercept?

a)

$-\frac{4}{5}$

b)

-8

c)

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

d)

8

46.

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

a)

Solution

b)

Not a solution

47.

Choose the linear equation that is perpendicular to the following line

y = $-\frac{1}{4}x\ -\ 1$

a)

y = $-\frac{1}{4}x\ +\ 5$

b)

y = $\frac{1}{4}x\ -\ 1$

c)

y = $-4x\ -\ 1$

d)

y = $4x\ -\ 3$

48.

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

a)

b)

c)

49.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

50.

What is a line in standard form that passes through the points (6,7) and (12,10)

a)

2x-y = 14

b)

-x+2y=8

c)

x-2y=10

d)

x-2y=-8

51.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

52.

Solve for x: 5x - 14 = 2(4x + 2)

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

53.

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

a)

x = -6

b)

x = 6

c)

x = 3

54.

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.

55.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

56.

Solve: 2(4x - 3) - 8 = 4 + 2x

a)

5/3

b)

3

c)

1

d)

2

57.

-(8n - 2) = 3 + 10(1 - 3n)

a)

n = 1/2

b)

n = -1/2

c)

n = 2

58.

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

a)

1500 + 8t = 12

b)

12 + 8t = 1500

c)

1500 + 8t = 12t

d)

8t = 12t + 1500

59.

Use the Distributive Property to solve the equation.
4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

60.

Solve
10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

61.

Which of the following is equivalent to 9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

62.

Solve
7x = 4x + 33

a)

x = 3

b)

x = 11

c)

x = 21

d)

x = 88

63.

Is the following a function?

a)

NO

b)

YES

64.

Is the following a function?

a)

YES

b)

NO

65.

DOES THE BLUE ON THE GRAPH REPRESENT A FUNCTION?

a)

YES

b)

NO

66.

Given the function f(x)=-2x+5, evaluate f(-4)

(a)

67.

Given the function f(x)=x^2-2x+3, evaluate f(-3)

(a)

68.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

69.

A function is defined by f(x)=3x-4. What is the range of the function if the domain is {-1,0,3}

a)

{-7, -4, 5}

b)

{-7, 5,-4}

c)

{-4,-7, 5}

d)

{4, 5, 7}

70.

What is the domain?

a)

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

b)

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

c)

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

d)

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

e)

None of the answer choices

71.

What is the domain?

a)

(-3 , 3)

b)

[-4, 5]

c)

(-4, 5)

d)

(-3, 3]

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

Is this is a function or not a function?

a)

Function

b)

Not a Function

76.

All of the y values of a relation are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

77.

What is the Domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

78.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

79.

In the following expression, the number 11 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

80.

What are the like terms in the following expression?

7x + 8 - 6x² + 2x

a)

7 and 2

b)

7x, 8, 6x², 2x

c)

7x and 2x

d)

7x, 6x², 2x

81.

In the following expression, how many terms are there?

5x³ - 7x + 11

a)

1

b)

2

c)

3

d)

4

82.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

83.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

84.

What is the equation of this table?

a)

y=512(1/4)^x

b)

y=32(4)^x

c)

y=32(1/4)^x

d)

y=512(4)^x

85.

Write the exponential regression equation for the data.

a)

Y=8.16(2.7)^x

b)

Y=81.6(2.7)^x

c)

Y=8.16(.27)^x

d)

Y=8.16(27)^x

86.

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

a)

-18x² + 2.11x + 4.21

b)

-.06x²+1.06x + 7.9

c)

-6x²+1.06x + 79

d)

-.12x² + 2.11x + 4.22

87.

a)

x > 0

b)

y > 0

c)

-∞ < x < ∞

d)

-∞ < y < ∞

88.

Find the best fitting quadratic model for the data given.

a)

1.2x² + 13x + 504.3

b)

12x² + 13x + 504.3

c)

.12x² + 1.3x + 504.3

89.

Write the exponential regression equation for this data.

a)

Y = 8.16(2.7)^X

b)

Y = 81.6(2.7)^X

c)

Y = 8.16(.27)^X

d)

Y = 8.16(27)^X

90.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

Review

Total questions: 90

Worksheet time: 8hrs 21mins

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