Free Printable Cumulative Alg 1 Review

1.

Simplify the radical.....
√36

a)

7

b)

6

c)

2√2

d)

1.5

2.

Simplify the radical.....
4√28

a)

4√7

b)

8√28

c)

8√7

d)

8

3.

Simplify the radical.....
√100

a)

2

b)

4

c)

6√4

d)

10

4.

Simplify the radical.....
√36X

a)

6√X

b)

3√6x

c)

6

d)

16

5.

Simplify the radical.....
√150X

a)

15√x

b)

5√6X

c)

65x

d)

10√5

6.

Simplify the radical.....
√49x²

a)

7x

b)

7√x²

c)

7x²

d)

7

7.

Simplify the radical.....
-4√200

a)

8

b)

-12√2

c)

-40√2

d)

-10

8.

Simplify the radical.....
-4√48x⁴

a)

16x

b)

-16x²√3

c)

-40√2

d)

-10

9.

Simplify the radical.....
√27x²y²

a)

3xy

b)

9xy

c)

3x√y

d)

3xy√3

10.

Simplify the radical.....
√27xy

a)

3

b)

3xy√3

c)

3x√y

d)

27xy

11.

Simplify the radical.....
√180x

a)

18

b)

√18x

c)

6√5x

d)

6√5

12.

Simplify the radical.....
√25x⁴

a)

5

b)

5x²

c)

5√x²

d)

5x⁴

13.

Simplify the radical.....
√144x³

a)

512

b)

12x²

c)

12x√x

d)

5x⁴

14.

Simplify the radical.....
4√216

a)

12x

b)

36

c)

12√36

d)

24√6

15.

Simplify the radical.....
√63

a)

√7

b)

3√7

c)

7

d)

3

16.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

17.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

18.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

19.

Find the product:
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

20.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

21.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

22.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b +19

23.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

24.

Multiply:
(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

25.

Simplify.

a)

10x⁹

b)

24x¹⁴

c)

24x⁹

d)

10x¹⁴

26.

Simplify.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

27.

Simplify.

a)

-9a³

b)

-9a⁶

c)

-24a⁶

d)

30a⁶

28.

Simplify.

a)

3h^1.25

b)

3h⁸⁰

c)

12h²

d)

3h²

29.

Simplify.

a)

-5x⁴y³

b)

5x⁴y³

c)

5x¹⁰y⁷

d)

-5x¹⁰y⁷

30.

$x\ \times x=$

a)

$2x$

b)

$x^2$

31.

$x\ +x=$

a)

$2x$

b)

$x^2$

32.

Which expression is equivalent to

x² ⋅ x⁵ ?

a)

x¹⁰

b)

x³

c)

x⁷

d)

1/3³

33.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

34.

Find the product:
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

35.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b +19

36.

a)

x = 7 or x = -7

b)

x = 7 or x = -13

c)

x = 7 or x = 13

d)

x = 7

37.

a)

x = -1 or x = 5

b)

x = 1 or x = -1

c)

x = -5 or x = 1

d)

No Solutions

38.

a)

x = 13 or x = -13

b)

x = -17 or x = 9

c)

x = 9 or x = -9

d)

x = -17 or x = -9

39.

a)

x = -1 or x = 5

b)

x = 1 or x = -1

c)

x = -5 or x = 1

d)

No Solutions

40.

a)

x = 2 or x =-6

b)

x = -2 or x =6

c)

x = 2 or x =-2

d)

No Solutions

41.

a)

x = 2 or x =-6

b)

x = -2 or x =6

c)

x = 2 or x =-2

d)

No Solutions

42.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

43.

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

a)

$f\left(2\right)=0$

b)

$f\left(2\right)=1$

c)

$f\left(2\right)=3$

d)

$f\left(2\right)=4$

44.

Evaluate f(-5)

a)

0

b)

2

c)

5

d)

-4

45.

Given the graph of f(x), evaluate f(2).

a)

undefined

b)

-1

c)

5

d)

2

46.

Given the graph of f(x), evaluate f(-1).

(a)

47.

Given the graph of g(x), find g(-2).

(a)

48.

Given the graph of g(x), find g(-6).

(a)

49.

Use the graph to evaluate f(5)

a)

0

b)

2

c)

4

d)

6

50.

Find $f\left(0\right)$

a)

$f\left(0\right)=-2$

b)

$f\left(0\right)\ =\ 0$

c)

$f\left(0\right)\ =\ 2$

d)

$f\left(0\right)\ =\ 4$

51.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

52.

f(x) = x+7 find f(4)

a)

11

b)

12

c)

9

d)

10

53.

f(x) = x-5 find f(9)

a)

4

b)

14

c)

9

d)

13

54.

f(x) = x-5 find f(8)

a)

5

b)

3

c)

9

d)

13

55.

f(x) = x-5 find f(0)

a)

4

b)

-5

c)

5

d)

-4

56.

f(x) = x-5 find f(-2)

a)

-7

b)

3

c)

7

d)

-3

57.

f(x) = x-9 find f(-1)

a)

-10

b)

8

c)

-8

d)

10

58.

f(x) = x-9 find f(4)

a)

-13

b)

5

c)

-5

d)

13

59.

f(x) = x-2 find f(4)

a)

-2

b)

6

c)

2

d)

4

60.

f(x) = x+8 find f(-4)

a)

-2

b)

6

c)

2

d)

4

61.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

62.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

63.

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

a)

16

b)

4

c)

-4

d)

None of these.

64.

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

a)

14x-10

b)

-8x+2

c)

2x+2

d)

2x-2

65.

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

a)

4x²+24

b)

4x²+20x+24

c)

4x²+12x+24

d)

4x²+4x+24

66.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

a)

16

b)

4

c)

-4

d)

None of these.

67.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

68.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

69.

f(x) = 3x + 10

g(x) = x - 2

Find (f∘g)(0)

(a)

70.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

71.

r - 18 = 27

a)

-45

b)

45

c)

-9

d)

9

72.

h + 17 = 40

a)

-23

b)

23

c)

57

d)

-57

73.

Use mental math to solve.

6x = 48

a)

x = 6

b)

x = 7

c)

x = 8

d)

x = 48

74.

Solve for p:
11p = 121

a)

11

b)

12

c)

110

d)

456

75.

What is the inverse operation of addition?

a)

Addition

b)

subrtaction

c)

multiplication

d)

division

76.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

77.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

78.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

79.

-3h=27

(a)

80.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

81.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

82.

Which of the following equations match 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

83.

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.

84.

Which graph best represents the following inequality?

a)

b)

c)

d)

85.

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

a)

Yes

b)

No

c)

Sometimes

86.

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

a)

Yes

b)

No

c)

Sometimes

87.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

88.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

89.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

90.

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

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

91.

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

a)

A

b)

B

c)

C

d)

D

92.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

93.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

94.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

95.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = x

b)

y = x + 1

c)

y = -x

d)

y = -x + 1

96.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 3x - 3

b)

y = 3x - 1

c)

y = -3x - 3

d)

y = -3x - 1

97.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -1/3x + 3

b)

y = 1/3x - 3

c)

y = -1/3x - 3

d)

y = 1/3x + 3

98.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

-3

b)

7

c)

-3/7

d)

3

99.

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

100.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

101.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

102.

In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?

a)

4

b)

6

c)

8

d)

9

103.

What is the ratio to the picture shown, triangles to squares?

a)

2:6

b)

5:6

c)

3:4

d)

4:3

104.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

105.

A unit rate is a ratio with:

a)

A denominator of 1

b)

A numerator of 1

106.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

107.

Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18

a)

TRUE

b)

FALSE

c)

dont know

d)

none of these

108.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

109.

Solve for n
12/6 = 4/n

a)

n=4

b)

n=2

c)

n=3

d)

n=6

110.

If Mike has a ratio of 2 apples to 3 bananas, how many apples would you expect him to have if he has 15 bananas?

a)

7

b)

9

c)

10

d)

2

111.

Solve the proportion.

a)

20

b)

7

c)

22

d)

11

112.

Solve the proportion.

a)

17.5

b)

15

c)

8

d)

14

113.

Solve the proportion.

a)

18

b)

4

c)

9

d)

8

114.

Solve the proportion.

a)

-5

b)

2

c)

7

d)

6

115.

Solve the proportion.

a)

10

b)

-2

c)

4

d)

-7

116.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

a)

$12

b)

$1.50

c)

$3

d)

$1

117.

What is a Ratio?

a)

Is a comparison of two quantities

b)

To multiply two fractions

c)

A number over another number

d)

Two decimals that can be multiplied

118.

A class has 30 students. 18 are boys. What is the ratio of boys to girls?

a)

12:18

b)

3:2

c)

30:18

d)

18:7

119.

Solve for x

a)

x=1

b)

x=3

c)

x=3/5

d)

x=2

120.

Solve for y:

5x + y = 16

a)

y = -5x + 16

b)

y = 5x + 16

c)

y = 5y - 16

d)

y = -5x - 16

121.

Solve m - n = 5 for m.

a)

m = n + 5

b)

m = n - 5

c)

m = 5n

d)

m = 5 - n

122.

Solve -2 = 4r + s for s.

a)

s = -4r + 2

b)

s = 4r - 2

c)

s = -4r - 2

d)

s = 4r + 2

123.

Solve IR = V for R.

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

124.

Solve:

y = mx + b , for b

a)

b = y - mx

b)

b = y + mx

c)

b = mx - y

d)

b = -y - mx

125.

Solve:

a - b + c = 9 , for a

a)

a = b - c + 9

b)

a = b + c - 9

c)

a = b + c + 9

d)

a = b - c - 9

126.

Solve for x.

z = xy

a)

x = ^z/_y

b)

x = ^y/_z

c)

x = yz

d)

x = z - y

127.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = ^a/_b

128.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

d)

x = vy + b

129.

Solve I = prt for r.

a)

r = ^I/_pt

b)

r = ^pt/_I

c)

r = I - pt

d)

r = pt - I

130.

To plot a point, start at the ___.

a)

x axis

b)

y axis

c)

origin

131.

To plot a point, start at the origin. Move right and then ____.

a)

left

b)

down

c)

up

132.

To plot (9,1): Start at the origin and move 9 units right and then 1 unit ___.

a)

up

b)

down

c)

origin

133.

a)

W (1, 5)

b)

W (1, 4)

c)

W ( 5, 1)

134.

a)

Z (4, 1)

b)

Z (4, 2)

c)

Z (2 , 4)

135.

a)

Y (4, 2)

b)

Y (4, 1)

c)

Y (1, 4)

136.

a)

X (4, 2)

b)

X (2, 4)

c)

X (3, 2)

137.

a)

E (0, 0)

b)

E (1, 0)

c)

E (0, 1)

138.

a)

B (2, 2)

b)

B (0, 2)

c)

B (2, 0)

139.

Which point is at the origin?

a)

B

b)

E

c)

D

140.

Is there a point at (5,1)?

a)

yes

b)

no

141.

Is there a point at (1,5)?

a)

yes

b)

no

142.

Is there a point at (3,3)?

a)

yes

b)

no

143.

Is there a point at (0,5)?

a)

yes

b)

no

144.

a)

D (2, 2)

b)

D (0, 2)

c)

D (2, 0)

145.

a)

X (2, 2)

b)

X (4, 2)

c)

X (4,1)

146.

The origin is ___

a)

(0,0)

b)

(0,1)

c)

(1,1)

147.

Which list of numbers completes the table?

y=x+6

a)

41,46

b)

42,46

c)

42,45

d)

44,48

148.

The table represents the equation k=j-20.

Use the equation to find the value of the unknown.

a)

34

b)

27

c)

41

d)

38

149.

The table represents the equation q= r + 15. Use the equation to find the value of the unknown.

a)

26

b)

40

c)

47

d)

27

150.

Which list of numbers completes the table?

y=6x

a)

48, 60

b)

63, 70

c)

60, 66

d)

54, 60

151.

y=x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

152.

If my function rule is 4x, what is the OUTPUT if the input is 5?

a)

45

b)

54

c)

9

d)

20

153.

If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

154.

If my function rule is x + 8, what is my INPUT if the output is 20?

a)

10

b)

12

c)

8

d)

28

155.

Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

156.

Find the missing OUTPUT value.

a)

-2

b)

3

c)

9

d)

-7

157.

If my function rule is x - 5, what is the OUTPUT if the input is 14?

a)

9

b)

19

c)

21

d)

1

158.

If my function rule is 5x, what is my INPUT if the output is 10?

a)

1

b)

50

c)

2

d)

15

159.

If my function rule is x - 4, what is my INPUT if the output is 7?

a)

11

b)

10

c)

3

d)

7

160.

Find the missing OUTPUT value.

a)

-19

b)

17

c)

19

d)

17

161.

What is the range of the function shown?

a)

{10, 19, 26}

b)

{-3, 0, 4}

c)

{-3, 0, 4, 10, 19, 26}

d)

{0, 16}

162.

What is the range of the function f(x)= x² + 2 when the domain
is {-1, 0 , 1}?

a)

{1, 2, 3}

b)

{2, 3}

c)

{0, 2, 4}

d)

{1, 3}

163.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

164.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

165.

Given the function f(x) = 4x² - 5, what is the range?

a)

All real numbers greater than or equal to -5

b)

All real numbers

c)

All real numbers greater than or equal to 5

d)

All real numbers less than or equal to -5

166.

A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?

a)

0≤ x ≤ 7

b)

0≤ x ≤ 8

c)

0≤ y ≤ 7

d)

0≤ y ≤ 8

167.

The elements of f(x) are (-7, 3), (-1, 6) and (8, -3). What is the range of the function?

a)

{-7, -1, -8}

b)

{-3, 6}

c)

{-3, 3, 6}

d)

All real numbers

168.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

169.

Before a bowler rolls her first ball, 10 pins are standing. The number of pins that will be left standing, y, is a function of the number of pins she knocks down. What is the range of the function?

a)

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b)

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

c)

y ≤ 10

d)

0 ≤ y ≤ 10

170.

What is the domain of the graph?

a)

{-4, 0, 2, 4}

b)

{-5, -4, -3, -1}

c)

{-5, -4, -3, -1, 0, 2, 4}

d)

All real numbers

171.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

172.

Is this graph shaded above or below?

a)

above

b)

below

173.

Is this graph shaded above or below?

a)

above

b)

below

174.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

175.

Do I need to flip my sign?
2x - 3y ≥ 12

a)

Yes

b)

No

176.

Consider the function y<2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

None of these.

177.

Which inequality describes this graph...

a)

y < 3x - 2

b)

y > 3x + 2

c)

y < 3x + 2

d)

y > 3x -2

178.

This is a graph of which inequality?

a)

y > 4x - 2

b)

y > -2x + 4

c)

y < -2x

d)

y < 4X - 2

179.

According to the graph, which point is a solution? Choose all that apply.

a)

(0, 0)

b)

(4, 2)

c)

(-1, -5)

d)

(-3, 0)

180.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

181.

Which inequality below is equivalent to

3x - y > 4

a)

y > 3x - 4

b)

y < -3x + 4

c)

y < 3x - 4

d)

y > -3x + 4

182.

Which of the following is the graph of

3x - 2y < 10

a)

b)

c)

d)

183.

When graphing $y<\frac{3}{5}x-4$ , you will draw which of the following.

a)

A dotted line

b)

A solid line

c)

Shade up

d)

Shade down

184.

When graphing $y\ge-\frac{2}{7}x+1$ , you will draw which of the following.

a)

A dotted line

b)

A solid line

c)

Shade up

d)

Shade down

185.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

186.

The solution set for a linear inequality was graphed as shown. Which of the following linear inequalities best represents this solution set?

a)

y > 3

b)

y < 3

c)

y > 3x

d)

y < -3x

e)

y > 3

187.

Randy must graph x + 3y > 6. Part of his effort is shown in the graph. Which of the following is true about Randy's work so far?

a)

All is great so far. He just needs to do the shading part.

b)

He has the incorrect y-intercept indicated since it should be at (0, 6).

c)

His "rise over run" technique is incorrect since it is reversed.

188.

The members of a local gymnastics organization has $3200 to support a group of its members to go to competition in Dallas, TX. The cost for an adult is $240 and the cost for a child is $150. Which of the following combinations of adults and children will be feasible?

a)

6 children and 10 adults

b)

5 adults and 12 children

c)

12 children and 6 adults

189.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

190.

Which of the following equations match 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

191.

Select the graph for y ≥ 1/3x + 2

a)

A

b)

B

c)

C

d)

D

192.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

193.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

194.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

195.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

196.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

197.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

198.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

199.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

200.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

201.

a)

A

b)

B

c)

C

d)

D

202.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

203.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

204.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

205.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

206.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

207.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

208.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

209.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

210.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

211.

Give the final solution set for:

2x + 1 > 9 or x - 4 < 6

a)

No solution

b)

4 < x < 10

c)

x > 4 or x < 10

d)

All real numbers

212.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

213.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

214.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

215.

X + 6 > 10

a)

X > 16

b)

X > -4

c)

X < -4

d)

X > 4

216.

-7x + 15 ≥ -20

a)

x ≥ -5

b)

x ≤ -5

c)

x ≥ 5

d)

x ≤ 5

217.

3(x-2)<2(x+9)

a)

x<24

b)

x>-24

c)

x<12

d)

x>18

218.

Which inequality symbol has a graph with an open (empty) circle?

a)

<

b)

≤

219.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

220.

a)

A)

b)

B)

c)

C)

d)

D)

221.

a)

A)

b)

B)

c)

C)

d)

D)

222.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

223.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

224.

Translate the following phrase: Jessica must be at least 48 inches to ride the roller coaster.

a)

j > 48

b)

j < 48

c)

j ≤ 48

d)

j ≥ 48

225.

Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.

a)

t > 20

b)

t < 20

c)

t ≤ 20

d)

t ≥ 20

226.

Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

227.

Translate the following phrase: Bob spends less than 5 hours on homework each night.

a)

b > 5

b)

b < 5

c)

b ≤ 5

d)

b ≥ 5

228.

Translate the following phrase: Edith must read for a minimum of 20 minutes every night.

a)

e > 20

b)

e < 20

c)

e ≥ 20

d)

e ≤ 20

229.

Translate the following phrase: All students must get at least a 65% for the year in order to pass math.

a)

s = 65

b)

s > 65

c)

s ≥ 65

d)

s ≤ 65

230.

Translate the following phrase: Grace has $45 at most in her purse on a daily basis

a)

g < 45

b)

g > 45

c)

g ≤ 45

d)

g ≥ 45

231.

You need to save a minimum of $1200 to purchase your new laptop. If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.

a)

11h + 1200 ≥ 400

b)

11h + 400 < 1200

c)

11h + 400 > 1200

d)

11h + 400 < 1200

232.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

233.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

234.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

235.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

236.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

237.

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

a)

(-4, 2)

b)

(4, 2)

c)

(2, -4)

d)

(2, 4)

238.

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

a)

(1, -2)

b)

(-2, 1)

c)

(-4, 1)

d)

(2, 1)

239.

Solve the system using any method.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

No solutions

d)

(6, 4)

240.

Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

241.

Solve the system of equations below:
9x - 4y = 1
-3x + 8y = -47

a)

(3, -7)

b)

(-3, 7)

c)

(-3, -7)

d)

(-7, -3)

242.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

243.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

244.

Solve by graphing:
y=5x+3

y=-2x-4

a)

(2,-1)

b)

(-1,-2)

c)

(1,-2)

d)

(-2,-1)

245.

Solve by elimination:
9x-4y=7

x-4y=-17

a)

(-1,5)

b)

(-7,5)

c)

(7,5)

d)

(3,5)

246.

Solve by elimination:
7x-9y=29

7x+2y=-15

a)

(-4,-1)

b)

(-1.-4)

c)

(-1,4)

d)

(-1,6)

247.

What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25

a)

price of a saxophone

b)

rental fee

c)

total cost

d)

number of months

248.

The solution of a system of linear equations is...

a)

the y-intercept (b)

b)

the intersection of the two equations on a graph

c)

the second equations' answers

d)

the slope (m)

249.

solve by substitution: y=3x+14
y=-4x

a)

y=3

b)

y=1

c)

y= - 2

d)

y=4

250.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

251.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

(0, -1.5)

252.

Solve the system of equations.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

253.

Solve the system of equations.

a)

(-23, 4)

b)

(-4, -3)

c)

(-2, -4)

d)

No solution

e)

Infinite solutions

254.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

255.

Solve the system of equations.

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

256.

Solve the system of equations.

a)

(-34, -17)

b)

(8, 4)

c)

(10, 20)

d)

No solution

e)

Infinite solutions

257.

Solve:
y = -1x - 5
4x - 8y = 4

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

258.

Solve:
y = 7x + 9
2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

259.

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

260.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

261.

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

a)

No solution

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

262.

Solve. WRITE YOUR SOLUTION AS AN ORDERED PAIR (x,y). DO NOT WRITE ANY SPACES.

$3x+4y=2$

$4x-4y=12$

(a)

263.

Solve. WRITE YOUR SOLUTION AS AN ORDERED PAIR (x,y). DO NOT WRITE ANY SPACES. $2x-3y=9$

$-5x-3y=30$

(a)

264.

Solve. WRITE YOUR SOLUTION AS AN ORDERED PAIR (x,y). DO NOT WRITE ANY SPACES.

$16x-10y=10$

$-8x-6y=6$

(a)

265.

Solve. WRITE YOUR SOLUTION AS AN ORDERED PAIR (x,y). DO NOT WRITE ANY SPACES. $-7x+y=-19$

$-2x+3y=-19$

(a)

Cumulative Alg 1 Review

Total questions: 265

Worksheet time: 20hrs 57mins

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