Free Printable EOC Cumulative Review (Spring 24)

1.

x + 3.7 = 9.2

a)

x = 12.9

b)

x = 5.5

c)

x = 6.5

d)

x = 7.2

2.

x + 2/3 = 8/9

a)

x = 1/3

b)

x = 2/9

c)

x = 14/9

d)

x = 5/18

3.

5x+1=2x-5

a)

x=-2

b)

x=-6

c)

x=3

d)

x=.5

4.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

5.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

6.

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.

7.

$3x-8<4$

a)

$x<4$

b)

$x>4$

c)

$x<-4$

d)

$x>-4$

8.

$-4x-3<-19$

a)

$x<4$

b)

$x>-4$

c)

$x>4$

d)

$x<-4$

9.

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

a)

$x\ge2$

b)

$x\le-2$

c)

$x\ge-2$

d)

$x\le2$

10.

$4x-6>6x-20$

a)

$x<7$

b)

$x<-7$

c)

$x>7$

d)

$x>-$

11.

$\ u\ =\ bak\$ Solve for a

a)

$a=\frac{u}{bk}$

b)

$a\ =\ \frac{bk}{u}$

c)

$a\ =\ -\frac{bk}{u}$

d)

$a=-\frac{u}{bk}$

12.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

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

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

13.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

14.

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

15.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

16.

Which compound inequality is graphed above?

a)

-2 < x ≤ 2

b)

-2 > x ≤ 2

c)

-2 < x < 2

d)

-2 ≥ x < 2

17.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

18.

Solve:

a)

-4

b)

10

c)

3

d)

-4

19.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

20.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

21.

What type of number is 1/4?

a)

rational number, integer, whole

b)

integer, whole

c)

rational only

d)

integer, whole

22.

What kind of number is 12.33333.....

a)

integer only

b)

whole only

c)

rational only

d)

rational, integer

23.

Pi is rational or irrational?

a)

Rational

b)

Irrational

24.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

25.

What is the following a model of?

a)

the sum of two irrational numbers

b)

the sum of two rational numbers

c)

a rational number plus an irrational number

d)

the product of two irrational numbers

26.

If you multiply a number and its multiplicative inverse, what do you get?

a)

0

b)

1

c)

Not enough information

d)

None of these

27.

The product of the express $\frac{1}{2\ }\ \left(\sqrt[]{3}\right)$ is a ________________ ?

a)

rational number

b)

Irrational Number

28.

Product of $\sqrt{20}$ and $\sqrt{5}$ is...

a)

Rational

b)

Irrational

29.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

30.

Jen wants to buy a new car for $18500. She pays $2500 at signing and wants to pay $250 per month. How many months until it is paid off?

a)

18500 + 2500 = 250x

b)

2500 -250x = 18500

c)

250x + 2500 = 18500

d)

2500(250)x = 18500

31.

Your cell phone bill is $21.20. The company charges $0.25 per call.

a)

0.25c = 21.20

b)

c - 0.25 = 21.20

c)

c + 0.25 = 21.20

d)

0.25 ÷ c = 21.20

32.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

33.

Solve the equation:
4 - 6x - 2= -2(3x-1)

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

34.

If while solving an equation your solution appears like so, 3 = 4, how many solutions do you have?

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions (all real numbers)

35.

a)

A

b)

B

c)

C

d)

D

36.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

37.

Determine if the equation shown has one solution, no solution, or infinitely many solutions.

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

38.

Match the inequality statement with its symbol.

a)

$>$

1.

greater than

b)

$\le$

2.

no more than

c)

$\ge$

3.

at least

d)

$<$

4.

less than

39.

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

a)

≤, ≥

b)

<, >

40.

- 3x < -12

a)

divide both sides by -3 and your answer is

x < 4

b)

x = 4

c)

divide both sides by -3 and your answer is

x > 4

because you divided by a negative and had to flip the inequality symbol

41.

Match the following

a)

2x + 5

1.

5 more than the product of x and 2

b)

2 (x + 5)

2.

Twice the sum of x and 5

c)

2x - 5

3.

5 less than the product of x and 2

d)

2 (x - 5)

4.

2 times the difference of x and 5

42.

Match the following

a)

4 (y - 2)

1.

4 times the difference of y and 2

b)

(y-2)/4

2.

The difference of y and 2 divided by 4

c)

4y - 2

3.

2 less than the product of 4 and y

d)

y/4 - 2

4.

2 less than one-fourth of y

43.

Match the following

a)

9 - x = 7

1.

9 less x is 7

b)

x - 9 = 7

2.

9 less than x is 7

c)

9 - 7 = x

3.

The difference of 9 and 7 is x

44.

Write an equation of a line perpendicular to
y = -1/5x + 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

45.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

46.

Write the slope-intercept form of the equation given the following information:

a)

A

b)

B

c)

C

d)

D

47.

Which equation best represents the relationship between x and y in the table shown?

a)

y=-3x-10

b)

y=-1/3x-10

c)

y=-10x+10

d)

y=-4x-10

48.

-6x + y = 2
6x + y = 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

49.

Identify the slope of a line parallel to the one graphed.

a)

-7/3

b)

3/7

c)

-3/7

d)

7/3

50.

These lines are....
x=6
y=10

a)

Parallel

b)

Perpendicular

c)

Neither

51.

a)

b)

c)

d)

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

F

b)

G

c)

H

d)

J

56.

Ted bought a dolphin poster for $12. He now has $5. If m represents the amount of money he had before buying the poster, which of the following equations represents this situation?

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

57.

Write the equation that represents this story:
Bill weights 120 pounds and is gaining 10 pounds each month. How many months, m, will it take for him to weigh 150 pounds?

a)

120 - 10m = 150

b)

120 +150 = 10m

c)

120 + 10m = 150

d)

120 - 150 = 10m

58.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

59.

Solve for y:
4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

60.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

61.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

$7x+35=63$

b)

$7x=63$

c)

$7x-35=63$

d)

$35x+7=63$

62.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

a)

y = -2x + 2

b)

y = 2x + 2

c)

y = 1/2x- 2

d)

y = -1/2x + 2

63.

Scott works on cars. He charges $35 for each car plus $7 per hour. The expression, $7x+35$ , represents the total charge if Scott works on a car.

If Scott works on a car for 8 hours, what would be the total?

a)

287

b)

$91

c)

$50

d)

$42

64.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

65.

What is the equation of this line?

a)

x = 5

b)

y = 5

c)

y = 5x

d)

x = -5

66.

If a line goes through the points (4, 5) and (4, 7), what type of line is it?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

67.

Determine the number of solutions to the given linear-quadratic system.

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

68.

Which of the following graphs correctly represents:

y=x²

y=-2x+1

a)

b)

c)

d)

69.

What are the solutions to the graphed system?

a)

(0,-2) and (1,3)

b)

(-2,0) and (2,0)

c)

(0,-2) and (3,1)

d)

(2,2) and (1,0)

70.

4x+8y=20

-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

71.

Warm up: #3

Match the solution to the system of equations.

a)

1.

(-2, -1)

b)

2.

(2, -1)

c)

3.

(1, 4)

d)

4.

(-4, -1)

72.

What would be the first step in solving the system of equations using elimination?
$x+y=11$
$2x+y=19$

a)

Multiply the first equation by $-1$

b)

Add both equations

c)

multiply the first equation by 2

d)

Add $-1$ to the second equation

73.

Use the graph to find $x$ when $f\left(x\right)=-5$

a)

6

b)

5

c)

-7

d)

3

74.

For what value of x does f(x) = -2?

a)

0

b)

-5

c)

3

d)

-3

75.

What is f(2)?

a)

-4

b)

8

c)

0

d)

5

76.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

77.

a)

Function

b)

Not a function

78.

a)

Function

b)

Not a function

79.

a)

Function

b)

Not a function

80.

a)

Function

b)

Not a function

81.

a)

F

b)

G

c)

H

d)

J

82.

a)

F

b)

G

c)

H

d)

J

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

86.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

87.

Is this table a function or not a function?

a)

Function

b)

Not a Function

88.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

89.

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:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

90.

Organize these options into the right categories

Categorize the following

(-2,0)

(8,0)

(0,3)

(0,-5)

(-8,1)

(5,-5)

(7,-6)

(any number , 0)

(0, any number)

Solve Ax = C in Standard Form

Solve By = C in Standard Form

m-value for y=mx+b

b-value for y=mx+b

X-intercept

Y-intercept

Neither

91.

Match the following

a)

Ax + By = C

1.

Standard Form

b)

y = mx + b

2.

Slope-Intercept Form

c)

y - y₁= m (x - x₁)

3.

Point - Slope Form

d)

y = kx

4.

Direct Variation

e)

$\frac{y_2-y_1}{x_2-x_1}$

5.

Slope of Two Points

92.

Match the following equations with their Slope. (It may help to look at the graph)

a)

$y\ =\frac{2}{3}x\ +\ 5$

1.

$\frac{2}{3}$

b)

2x + 3y = 6

2.

$-\frac{2}{3}$

c)

y - 5 = 2 (x + 1)

3.

2

d)

$x=2$

4.

Undefined

e)

$y=2$

5.

0

93.

Given 2x -3y = 12

and x +5y =4

Which option would allow you to solve by elimination?

a)

Multiply 1st by 5

b)

Multiply 2nd by 2

c)

Multiply 2nd by -2

d)

Multiply 1st by 1

94.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

a)

you cannot solve this using eliminiation

b)

cross out the 2x and 3x, because when you add them, they equal 0

c)

cross out the 2y and -2y because when you add them, they equal 0

d)

change to slope intercept form and graph

95.

What is the resulting combined equation for the system below?

9x + y = 12

-9x + y = 6

a)

-18x = 18

b)

y = 18

c)

2y= 18

d)

18x + 2y = 18

96.

Which one shows the correct substitution for the system?

y = 2x + 1

2x - 3y = 7

a)

2(2x + 1) - 3y = 7

b)

2x - 3(2x + 1) = 7

c)

y + 2x - 3y = 8

d)

2x - 2x + 1 = 7

97.

a)

$−7r^2+2r+8$

b)

$7r^2+12r+8$

c)

$−7r^2+12r−8$

d)

$7r^2+2r−8$

98.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

99.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

100.

What is the correlation?

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

All of the above

101.

What represents the x axis?

a)

ABC Company

b)

Hours Worked

c)

Amount Earned in Dollars

d)

Hours in Car

102.

Looking at the graph showing a line of best fit, what is the correlation shown?

a)

Length of life is constant

b)

Length of life increases as amount of sunlight increases

c)

Length of life increases as amount of sunlight decreases

d)

Length of life decreases as amount of sunlight increases

103.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

104.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

105.

Given the following Scatter Plot, select the option that is most likely the r value.

a)

$r=.27$

b)

$r=-.862$

c)

$r=.934$

d)

$r=.54$

106.

Given the following Scatter Plot, select the option that is most likely the r value.

a)

$r=-.45$

b)

$r=-.981$

c)

$r=.728$

d)

$r=.12$

107.

r = -0.3 is considered to have...

a)

moderate negative correlation

b)

weak negative correlation

c)

no correlation

d)

strong negative correlation

108.

A restaurant sells pizza for the prices in the data table. Use your calculator to find the exact linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

109.

a)

F

b)

G

c)

H

d)

J

110.

a)

F

b)

G

c)

H

d)

J

111.

a)

F

b)

G

c)

H

d)

J

112.

a)

A

b)

B

c)

C

d)

D

113.

Simplify the radical:

$\sqrt[]{20a^2b^4}$

a)

$2ab^{2\ }\sqrt[]{5}$

b)

$4ab^2\ \sqrt[]{5}$

c)

$5ab^2\ \sqrt[]{2}$

d)

$2b^2\ \sqrt[]{5a}$

114.

$\sqrt{192k^7q^8}$

a)

$8q^4\sqrt{3k^7}$

b)

$8k^3q^4\sqrt{3}$

c)

$8k^3q^4\sqrt{3k}$

d)

$8k^7q^8\sqrt{3k}$

115.

Classify the following polynomial

a)

cubic biniomial

b)

quadratic polynomial

c)

linear binomial

d)

quadratic trinomial

116.

Add the polynomials:
(3x³+3x²–4x+5) + (x³–2x²+x–4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

117.

Simplify the expression.
(4n²-8n+4) - (8n²+4n+1)

a)

-4n² - 12n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

118.

Multiply:
(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

119.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

120.

Find the product.
(x+7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

121.

Simplify.

(2b − 6)(2b + 6)

a)

4b² − 24b − 36

b)

4b² − 36

c)

2b² − 36

d)

4b − 36

122.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

a)

2

b)

4

c)

6

d)

8

123.

Find the common ratio of the following geometric sequence

$-250,\ -50,\ -10,\ -2$

a)

r = 5

b)

r = -5

c)

r = 1/5

d)

r = -1/5

124.

Is the sequence 2, 4, 12, 48,... geometric?

a)

yes

b)

no

125.

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

a)

Yes

b)

No

126.

Is the function linear or exponential?

a)

linear

b)

exponential

127.

8,4, 0, -4, -8, ... find the common difference

a)

-8

b)

-6

c)

-4

d)

-2

128.

8,4, 0, -4, -8, ... find the common difference

a)

-8

b)

-6

c)

-4

d)

-2

129.

Which the following graphs shows an exponential decay equation?

a)

b)

c)

d)

130.

The equation for this table is

a)

y = 1(2^x)

b)

y = 1(12^x)

c)

y = 12x

d)

y = 12x + 1

131.

Is the equation linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

132.

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

133.

Write in exponential form: ∛4⁵

a)

4^3/5

b)

4^5/3

c)

4^1/5

d)

4^1/3

134.

Which equation best describes the graph?

a)

y = 2^x + 4

b)

y = 2^x - 3

c)

y = 2^x - 4

d)

y = 2^x + 3

135.

What is the graph of the following equation?

f(x)= (1/2)^x-2+3

a)

b)

c)

d)

136.

Describe the trend given the Correlation Coefficient

r = -0.89

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

137.

Describe the trend given the following Correlation Coefficient

r = 0.3

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

138.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

139.

What is the Area?

a)

$2x^2-3x-18$ sq, in.

b)

$2x^2+3x+18$ sq. in.

c)

$2x^2+9x-18$ sq. in.

d)

$2x^2-9x-18$ sq. in.

140.

Find the perimeter of the triangle

a)

$4x+64$

b)

$4x^2+64$

c)

$3x+50$

d)

$3x^2+50$

141.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

142.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

143.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

144.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

145.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

146.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

147.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

148.

simplify 7^-2

a)

1/7²= 1/49

b)

-49

c)

-14

d)

1/14

149.

Organize these options into the right categories

a)

Constant

1.

$-8$

b)

Linear

2.

$4x-7$

c)

Quadratic

3.

$4x-2x^2+3$

d)

Cubic

4.

$5x^3-2$

e)

Quartic

5.

$3x^2-5x^4+2$

150.

Match based on the number of terms

Categorize the following

Monomial

$5x^2$

Binomial

$3x+4$

Trinomial

$2x^2+5x-8$

1 - Term Polynomial

2 - Term Polynomial

3 - Term Polynomial

151.

Organize the parts of the polynomial into the correct category

$5x^3-2x+6-4x^5$

Categorize the following

$-4x^5$

$-4$

$6$

$5$

$5x^3$

$-2x$

Lead Term

Lead Coefficient

Constant Term

Not Used

152.

Match the following based on the degree of a polynomial

a)

Degree of 0

1.

Constant

b)

Degree of 1

2.

Linear

c)

Degree of 2

3.

Quadratic

d)

Degree of 3

4.

Cubic

e)

Degree of 4

5.

Quartic

153.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

154.

a)

b)

c)

d)

155.

a)

F

b)

G

c)

H

d)

J

156.

a)

A

b)

B

c)

C

d)

D

157.

a)

A

b)

B

c)

C

d)

D

158.

a)

F

b)

G

c)

H

d)

J

159.

a)

F

b)

G

c)

H

d)

J

160.

Identify a, b, and c in: x²−6x+14

a)

a=3,b=5,c=9

b)

a=1,b=-6,c=14

c)

a=1,b=-6,c=-14

d)

a=1,b=6,c=14

161.

Fill in quadratic formula

$x=$

a)

4ac-b^2

b)

a^2

c)

-2a

d)

2a

e)

b^2

f)

-b^2-4ac

g)

b^2+4ac

h)

b^2-4ac

i)

b

j)

-b

1

2

3

1)

2)

3)

162.

Identify a, b and c

$-x^2-3x+9=0$

a = (a)

b = (b)

c = (c)

Choose from the below words

-1

-3

9

0

1

3

-9

163.

Fill in the formula

$x^2-6x-40=0$

BLUE= (a) RED= (b)

GREEN= (c)

Choose from the below words

-6

1

-40

-1

6

40

164.

find x for
2x²-8x-24=0

a)

x= 6, -2

b)

x= 2, -6

c)

x= 4, 2

d)

x= 2, 6

165.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

166.

Graph the quadratic.

a)

A

b)

B

c)

C

d)

D

167.

Label the quadratic function.

a)

Minimum, vertex

b)

Axis of Symmetry

c)

Zeros, Roots, Solutions

d)

Y-Intercept

1

2

3

4

1)

2)

3)

4)

168.

Identify the x-intercepts

A

B

C

D

E

F

169.

Given $-4x^2-2x+16=0$ has $a=-4$ , $b=-2$ and $c=16$ , place the numbers in the correct place in the formula.

a)

\left(-4\cdot16\right)

b)

\left(-2\right)

c)

\left(-4\right)

d)

\left(-2\right)^2

1

2

3

4

1)

2)

3)

4)

170.

Identify the forms of quadratic equations.

a)

$y=ax^2+bx+c$

1.

Standard Form

b)

$y=a\left(x-h\right)^2+k$

2.

Vertex Form

c)

$y=a\left(x-r_1\right)\left(x-r_2\right)$

3.

Factored Form (Intercept Form)

171.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

172.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

173.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

174.

Describe the transformation that is applied to the parent function.
f(x) = 3 Ix+8I

a)

Stretches by 3, Shifts left 8

b)

Stretches by 3, Shifts right 8

c)

Stretches by 3, Shifts up 8

d)

Stretches by 3, Shifts down 8

175.

a)

f(x)=x² + 2

b)

f(x) = (x-2)² + 1

c)

f(x)= (x+2)² - 1

d)

f(x)= (x+2)² + 1

176.

When is this function increasing?

a)

−3 < x < 3

b)

0 < x < 5

c)

0 < x < 55

d)

−5 < x < 0

177.

Where is the function increasing?

a)

y ≤ 1

b)

y ≥ 1

c)

x ≥ -2

d)

x ≤ -2

178.

Where is the function decreasing?

a)

x ≤ 1

b)

x ≥ 1

c)

y ≤ 2

d)

y ≥ 2

179.

What is the decreasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

180.

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

181.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

182.

Sketch the graph of the function

a)

b)

c)

d)

183.

Factor each completely.

a)

b)

c)

d)

184.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

185.

Factor:

80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

186.

Rewrite f(x) = x² - 10x + 14 in graphing/vertex form by completing the square.

a)

y = (x - 5)² + 14

b)

y = (x - 5)² - 11

c)

y = (x + 5)² + 14

d)

y = (x + 5)² - 11

187.

Which of the following is the vertex form of the equation of a parabola that has a vertex of (-4, 6) and passes through the point (-7, 24)?

a)

f(x) = 2(x + 4)² + 6

b)

f(x) = 2(x - 4)² + 6

c)

f(x) = (x + 4)² + 6

d)

f(x) = (x - 4)² - 6

188.

A graph of a quadratic function is shown on the grid. Which coordinates best represents the vertex of the graph?

a)

$\left(0,3\right)$

b)

$\left(-7.2,0\right)$

c)

$\left(-4,-5\right)$

d)

$\left(-8,3\right)$

189.

Which graph represents a quadratic function that has only one solution?

a)

A

b)

B

c)

C

d)

D

190.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

191.

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

192.

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

a)

- 196

b)

49

c)

- 49

d)

28

193.

Factor the following:

$x^2-10x+25$

a)

$\left(x-5\right)\left(x-5\right)$

b)

$\left(x+5\right)\left(x-5\right)$

c)

$\left(x-5\right)\left(x+5\right)$

194.

Complete the square but do not solve.

$x^2+10x\ -11=0$

a)

$\left(x+5\right)^2=36$

b)

$\left(x+5\right)^2=25$

c)

$\left(x+10\right)^2=100$

d)

$\left(x+10\right)^2=111$

195.

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

a)

2 meters

b)

5 meters

c)

40 meters

d)

20 meters

196.

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

a)

5 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

197.

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

$h\left(t\right)=-16t^2+288t+8$

How many seconds will it take for the rocket to reach a height of 1,304 feet?

a)

9.0 seconds

b)

9.6 seconds

c)

81.0 seconds

d)

82.0 seconds

198.

If each mark on the x-axis represents one second, when did the object reach the ground?

a)

2.5 seconds

b)

6 seconds

c)

5.5 seconds

d)

5 seconds

EOC Cumulative Review (Spring 24)

Total questions: 198

Worksheet time: 48hrs 19mins

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