Free Printable ALGEBRA 1 - Final EOC Review 2023

1.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

2.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

3.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

4.

a\ =\ \frac{b}{c}

solve for b

a)

$b\ =\ ac$

b)

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

c)

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

d)

$b\ =\ a^2c$

5.

a=\frac{b}{c}

Solve for c

a)

$c=ab$

b)

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

c)

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

d)

$c=\ \sqrt{ab}$

6.

a\ =\ bc\ ,\ \ \ \ solve\ for\ b

a)

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

b)

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

c)

$b=ca$

d)

$b\ =\ c^2a$

7.

a=bc^2

, solve for b

a)

$b\ =\sqrt{\frac{a}{c}}$

b)

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

c)

$b=\frac{c}{a^2}$

d)

$b\ =\frac{a}{c^2}$

8.

a=bc^2

solve for c

a)

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

b)

$c=\sqrt{\frac{a}{b}}$

c)

$c=\left(ab\right)^2$

d)

$c=\sqrt{\frac{b}{a}}$

9.

Consists of numbers or variables and at least one operation.

a)

Inequality

b)

Expression

c)

Equation

10.

Consists of two expressions that are not equal (many symbols).

a)

Inequality

b)

Variable

c)

Evaluate

11.

Define variable.

a)

a value that does not change

b)

to work out an answer

c)

an unknown value

12.

A value that does not change is called a

a)

constant

b)

variable

c)

equation

13.

Define value:

a)

Consists of two expressions that are equal.

b)

A number such as the result of a previous calculation or the number assigned to a variable or constant.

c)

The rules that say which calculation comes first in an expression.

14.

Define equation.

a)

Consists of two expressions that are equal (one symbol).

b)

a value that does not change

c)

calculate the value of an expression

15.

Define Order of Operations.

a)

Consists of numbers or variables and at least one operation.

b)

To work out an answer.

c)

The rules that say which calculation comes firs in an expression.

16.

What is the correct Order of Operations?

a)

Multiply, Parentheses, Divide, Add, Exponents, Subtract

b)

Add, Subtract, Multiply, Divide, Exponents, Parentheses

c)

Parentheses, Exponents, Multiply, Divide, Add, Sutract

17.

What are the coefficients in this statement?
a + 6b = 2

a)

6

b)

2

c)

1, 6

d)

1, 6, 2

18.

What is the "7m" in this expression?
7m - 9

a)

Expression

b)

Variable

c)

Coefficient

d)

Term

19.

What is an algebraic expression made of?

a)

Numbers and operations

b)

Numbers and multiplication

c)

Addition and multiplication

d)

Numbers and variables

20.

Spot fetched 12 sticks and some rocks when he played outside. How many objects did he fetch in all?

a)

12 - r

b)

12/r

c)

12 + r

d)

12r

21.

b x c x d = 30, if c = 5 and d = 3, then...

a)

b = 30

b)

b = 23

c)

b = 17

d)

b = 2

22.

How many terms in the following expression:
5x + 3y - 15 + x

a)

1

b)

2

c)

3

d)

4

23.

What is the quotient of y and 5?

a)

y - 5

b)

y + 5

c)

y X 5

d)

y/5

24.

The product of seven and a number increased by five

a)

7+n+5

b)

7/n+5

c)

7n+5

d)

7-n+5

25.

Simplify the expression.

a)

-30

b)

-18

c)

30

d)

-66

26.

Simplify:

6(x + 1) - 5(x + 2)

a)

2x + 8

b)

x - 4

27.

3(5x + 1) = 48

a)

x = 47/15

b)

x = 47

c)

x = 51

d)

x = 3

28.

Order 5/8, 60%, and 0.65 in ascending (least to greatest) order.

a)

0.65, 5/8, 60%

b)

5/8, 0.65, 60%

c)

60%, 5/8, 0.65

d)

60%, 0.66, 5/8

29.

Put the following numbers in order from least to greatest: 0.77, 5/3, 125%

a)

5/3, 0.77, 125%

b)

0.77, 125%, 5/3

c)

125%, 5/3, 0.77

d)

125%, 0.77, 5/3

30.

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

31.

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

a)

18 miles

b)

20 miles

c)

22 miles

32.

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

a)

6

b)

9

c)

12

d)

27

e)

36

33.

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

a)

12 and 24

b)

31 and 43

c)

24 and 36

d)

51 and 63

34.

The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.

a)

9 in by 12 in

b)

3 in by 14 in

c)

10 in by 11 in

d)

8 in by 13 in

35.

Find two consecutive numbers whose sum is 115.

a)

57 and 58

b)

44 and 45

c)

56 and 57

d)

225 and 226

36.

Marco and Polo are making the world's largest apple pie. They will need 215 apples. Marco has already picked 95 apples. How many apples will Polo need to pick so they have enough?

Select the equation that best describes this problem.

a)

p - 95 = 215

b)

215 + p = 95

c)

p + 95 = 215

d)

95p = 215

37.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

38.

Five less than twice a number is equivalent to 47.

a)

5 - 2x = 47

b)

2x - 5 = 47

c)

5x - 2 = 47

d)

2 - 5x = 47

39.

The sum of three consecutive integers is 147. Which equation can be used to find the first integer?

a)

3x = 147

b)

x + 3 = 147

c)

x + x + 1 + x + 2 = 147

d)

x ⋅ x ⋅ x = 147

40.

The sum of four consecutive odd integers is equivalent to 232. Which equation can be used to find the first integer?

a)

4x = 232

b)

x + x + 2 + x + 4 + x + 6 = 232

c)

x + x + 1 + x + 3 + x + 5 = 232

d)

x ⋅ x ⋅ x ⋅ x = 232

41.

Find two consecutive, even integers such that three times the first is eight more than twice the second.

a)

12 and 14

b)

6 and 8

c)

10 and 12

d)

8 and 10

42.

The larger of two numbers exceeds the smaller number by 12. If the sum of the two numbers is 74, find the two numbers.

a)

12 and 24

b)

31 and 43

c)

24 and 36

d)

51 and 63

43.

a)

$81

b)

$810

c)

$8.1

d)

$18

44.

a)

0.93

b)

0.07

c)

1.7

d)

1.07

45.

a)

€98.6

b)

€90.8

c)

€89.6

d)

€68.9

46.

a)

€16.6

b)

€61.1

c)

€60.1

d)

€62.1

47.

a)

$252.7

b)

$257.2

c)

$527.2

d)

$275.2

48.

1) A camera costs £180 in a 10% sale. What was the pre-sale price?

a)

£200

b)

£18

c)

£198

d)

£162

49.

2) After fuel prices rose by 15%, a family’s annual heating bill was £1654. What would the bill have been without the price increase?

a)

£1438.26

b)

£1945.88

c)

£248.10

d)

£1500

50.

4) The world’s tiger population has decreased by 95% since 1910 and is now believed to be as low as 3200. If these figures are correct, what was the tiger population in 1910?

a)

3040

b)

160

c)

3386

d)

64000

51.

6) After a 6.5% pay rise an engineer’s salary is £36,700. What was the salary before the increase?

a)

£34460.09

b)

£2385.50

c)

£34314.50

d)

£39251.34

52.

7) Due to falling orders a company reduces its workforce by 12% to 792. What was the original number of employees?

a)

95

b)

887

c)

900

d)

707

53.

8) An engine modification improved the fuel consumption of a car by 27% to 17.2 km per litre. What was the fuel consumption before the modification?

a)

4.644

b)

21.844

c)

13.543

d)

12.556

54.

Greater than

a)

<

b)

>

c)

≤

d)

≥

55.

$s+9\ge-25$

a)

$s\ge-18$

b)

$s\ge-34$

c)

$s\le18$

d)

$s\ge34$

56.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

57.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

58.

$10\ge x-3$

a)

$x\le13$

b)

$x\ge13$

c)

$x\le7$

d)

$x\ge7$

59.

$-12y-11<49$

a)

$y<-5$

b)

$y>-5$

c)

$y>5$

d)

$y<5$

60.

Which graph represents the inequality 6 > x

a)

A

b)

B

c)

C

d)

D

61.

Pick the correct inequality.

a)

x < -6

b)

x ≥ -6

c)

x > -6

d)

x ≤ -6

62.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

63.

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

64.

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

65.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

66.

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

67.

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

68.

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

69.

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

70.

Is (-2, 0) a solution to the system?

a)

Solution

b)

Not a solution

71.

^{Which point is a solution to the system of inequalities?}

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

72.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

73.

Which inequality is shown in the graph?

a)

y < 2x + 1

b)

y < -2x + 1

c)

y ≤ 2x + 1

d)

y ≤ -2x + 1

74.

The graph shows which inequality?

a)

y ≤ 3

b)

y ≥ 3

c)

y > 3

d)

x > 3

75.

What is the inequality symbol for the equation of this boundary line?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

76.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

77.

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

78.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

79.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

80.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

81.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

82.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

83.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

84.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

85.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

86.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

87.

Find the slope

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

88.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

89.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

opposites

c)

identical

d)

nothing

90.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

91.

Are the lines shown parallel. perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

92.

y = ^{- 2}/₃x + 2
y = ³/₂x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

93.

y = ¹/₃x + 2
y = 4x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

94.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

95.

Which line is perpendicular to
y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

96.

Find the midpoint of the segment with endpoints (4, 12) and (-6, 14)

a)

(-1, 13)

b)

(13, 1)

c)

(13, -1)

d)

(5, 13)

97.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

a)

(0, -1)

b)

(6, 1)

c)

(1, 6)

d)

(0, 1)

98.

What are the coordinates of point X?

a)

(5,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

99.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

100.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

101.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

102.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

103.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

104.

Which equation is written in standard form?

a)

6y = x + 5

b)

y-1 = 7(x - 2)

c)

y = 1/2x + 15

d)

2x + 3y = 18

105.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

106.

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

107.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

108.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -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)

109.

What form of linear equation is this?

a)

Slope-Intercept

b)

Point-Slope

c)

Standard

110.

What form of linear equation is this?

a)

Slope-Intercept

b)

Point-Slope

c)

Standard

111.

In slope-intercept form, what information is easy to find? Select all that apply.

a)

slope

b)

y-intercept

c)

rise over run

d)

a point on the line

112.

In point-slope form, what information is easy to find? Select all that apply.

a)

slope

b)

y-intercept

c)

rise over run

d)

a point on the line

113.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

114.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

115.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

116.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

117.

Factor Completely:
2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

118.

Solve
a² + 10a + 21 = 0

a)

± √21

b)

-3 , -7

c)

3 , 7

d)

28 , -7

119.

Solve
h² + 7h + 10 = 0

a)

A. h= -5, -2

b)

B. h= 5, 2

c)

C. h = -1, ^-10/₆

d)

D. h = ^-2/₅, -10

120.

What are the values of a, b, and c in the quadratic equation 3x² - 10 = -4x

a)

a = 3x² b = -10 c = -4x

b)

a = 3 b = -10 c = -4

c)

a = 3 b = -4 c = -10

d)

a = 3 b = 4 c = -10

121.

What are the solutions to 5( x - 3 )² = 45?

a)

x = 6 and x = 0

b)

x = -3 and x = 45

c)

x = -6.71 and x = 6.71

d)

x = -3 and x = 3

122.

What are the solutions for the equation 2x² + 16x = 18

a)

x = -1 and x = 9

b)

x = -9 and x = 1

c)

x = 2 and x= 18

d)

x = 2 and x = 16

123.

The area of a certain rhombus is given by the equation L²- 5L = 6 where l represents the length of the rhombus in centimeters. What is the length of the rhombus?

a)

6 cm

b)

-6 cm

c)

1 cm

d)

-1 cm

124.

In the quadratic function x² - 6x + c what value of c would make q(x) a perfect square trinomial?

a)

6

b)

3

c)

36

d)

9

125.

How long was the rocket in the air?

a)

3 seconds

b)

5 seconds

c)

9 seconds

d)

6 seconds

126.

If the rocket was at a height of 5 feet at 1 seconds, at what other time was the rocket at a height of 5 feet?

a)

It was never at 5 feet again.

b)

6 seconds

c)

5 sconds

d)

3 seconds

127.

Approximately, what was the highest that the rocket flew?

a)

6 feet

b)

9 feet

c)

3 feet

d)

It never flew.

128.

Which value is the vertex?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

129.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

130.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

131.

Does the equation open or or down? Is the vertex a maximum or minimum?

Y = -3x² +7x - 2

a)

up, minimum

b)

down, maximum

c)

up, maximum

d)

down, minimum

132.

True or false:

The solution, root, x-intercept, and zero are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

133.

What are the zeroes of this graph?

a)

x = -4 and 2

b)

x= -1 and 0

c)

x = 9 and -8

d)

x= 4 and -2

134.

What are the zeroes?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2 and x= -2

135.

What is the equation of this parabola in it’s factored form?

a)

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

b)

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

c)

y=(x+2)(x-3)(x-6)

d)

y=(x+3)(x-6)

136.

What is the equation of this parabola in its factored form?

a)

y=(x+1)(x+3)

b)

y=(x-1)(x-3)

c)

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

d)

y=-(x-1)(x-3)

137.

Solve using square roots. x² - 4 = 0

a)

x = 2

b)

x = 2 or -2

c)

x = -2

d)

x = 16 or -16

138.

Solve the equation by factoring:
x² + x - 20 = 0

a)

x = -5 and 4

b)

x = 4 and 5

c)

x = 5 and -4

d)

x = -4 and -5

139.

What are the solutions to this equation?
(x-3)(x+2)=0

a)

x=3,-2

b)

x=-3,2

c)

x=2,3

d)

x=3,2

140.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

141.

Solve for r:

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

142.

Which is the standard form for a quadratic equation?

a)

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

b)

$ax^2+bx+c=0$

c)

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

d)

$a^2+b^2=c^2$

143.

Which is in the proper factored form to use the Zero Product Property ?

a)

$x^2-x=12$

b)

$x\left(x-1\right)=12$

c)

$\left(x-4\right)\left(x+3\right)=1$

d)

$\left(x-4\right)\left(x+3\right)=0$

144.

$7x^2=6x-1$

Given this quadratic equation, what could be the values a, b, and c to use in the quadratic formula?

a)

$a\ =\ 7,\ b\ =\ -6,\ c\ =\ 1$

b)

$a\ =\ 1,\ b\ =\ 6,\ c\ =\ -7$

c)

$a\ =\ -7,\ b\ =\ 6,\ c\ =\ 1$

d)

$a\ =\ 6,\ b\ =\ 7,\ c\ =\ 1$

145.

$x^2+12x$

What value completes the square?

a)

3

b)

6

c)

12

d)

36

146.

$x^2-7x=0$

Solve by the method of your choice.

a)

x = 7 only

b)

x = 0 only

c)

x = 0 and 7

d)

There is no real answer for this equation.

147.

$3x^2-10x+1=0$

Solve by the method of your choice.

a)

$x=\frac{-10\pm\sqrt{88}}{6}$

b)

$x=\frac{-5\pm2\sqrt{22}}{3}$

c)

$x=\frac{10\pm\sqrt{112}}{6}$

d)

$x=\frac{5\pm\sqrt{22}}{3}$

148.

$2x^2=8x+3$

2x^2-8x-3=0

x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}

x=\frac{8\pm\sqrt{40}}{4}

x=\frac{8\pm2\sqrt{10}}{4}

x=\frac{4\pm\sqrt{10}}{2}

Suzanne solved the equation using this process.

Did she make a mistake?

If yes, at which line did she make her first mistake?

(There are 5 steps in her process)

a)

Suzanne made no errors.

b)

Step 2

c)

Step 3

d)

Step 4

e)

Step 5

149.

What is the color of the graph that has exactly one real zero?

a)

black

b)

green

c)

purple

d)

red

e)

None of these graphs has exactly one zero.

150.

What is the color of the graph that has no real zeros?

a)

black

b)

green

c)

purple

d)

red

e)

None of these graphs have no real zeros

151.

How many real solutions can a quadratic equation of the form shown have?
Check all that apply.

ax^2+bx+c=0

a)

0

b)

1

c)

2

d)

3

e)

infinitely many

152.

When using factoring to solve a quadratic equation, what must be true?

a)

The equation must be set equal to 1.

b)

The equation must be set equal to 10.

c)

The equation must be set equal to 0.

d)

It is not necessary to set the equation equal to anything.

153.

What is/are the solution(s) to

3x^2-1=74

?

a)

x = 5 only

b)

x = -5 only

c)

x = 5 and -5

d)

There are no real solutions

154.

What values of b make an exponential growth function?

a)

b > 0

b)

b <1

c)

b > 1

d)

0 < b < 1

155.

What values of b make an exponential decay function?

a)

b > 0

b)

b < 1

c)

b > 1

d)

0 < b < 1

156.

6^{-2 =}

a)

12

b)

-36

c)

1/36

d)

1/6

157.

Write in exponential form: ∛4⁵

a)

4^3/5

b)

4^5/3

c)

4^1/5

d)

4^1/3

158.

Solve:
3^x-2= 27^4x

a)

-2/11

b)

-2/3

c)

2/11

d)

2/3

159.

Multiply:
2x(3xy²+ 4x³y)=

a)

6xy² + 8x⁴y

b)

6x²y + 8x³y

c)

6x²y² + 4x⁴y

d)

6x²y² + 8x⁴y

160.

Does this graph represent exponential growth or decay?

a)

Growth

b)

Decay

c)

cannot be determined

161.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

162.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

163.

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

164.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

165.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

166.

Find the vertex of y = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

167.

Find the vertex of y = -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

168.

1 The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

169.

1 In the equation

y = x² +5x +7,

match each leading coefficient with its correct letter.

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

170.

1 What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

171.

2 For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

172.

2 A function has a discriminant of 4.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

4

173.

2 A function has a discriminant of 0.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

5

174.

3 What is the discriminant of

-2x² − x − 1 = 0 ?

a)

76

b)

-7

c)

9

d)

none of these

175.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

176.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

177.

4 Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

a)

256 - 2 reals - Rational

b)

√(-256 - 2 imaginary solutions

c)

√(137) - 2 reals - Irrational

d)

123 - 2 reals - Rational

178.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

179.

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

180.

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

181.

What type of correlation (association)?
The outside temperature and the amount of layers you wear.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

182.

The number of siblings you have and your weight.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

183.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

184.

What is the correlation?

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

All of the above

185.

In a scatterplot, an outlier...

a)

...is something we didn't learn 8th grade

b)

...is a puppet with a long nose named Pinocchio

c)

...is a point that is far outside the main cluster of points/ordered pairs

d)

...is a really naughty point who doesn't tell the truth when outside

186.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

187.

The pie chart shows colours of motorbikes in a shop. There are 20 more blue bikes than white. How many bikes are there altogether?

a)

54

b)

160

c)

40

d)

80

188.

Which ice cream is the most popular among the students?

a)

vanilla

b)

strawberry

c)

blueberry

d)

chocolate

189.

This pie chart shows the colour of hats that Tom owns. Which colour hat does he own the second most of?

a)

red

b)

blue

c)

green

d)

yellow

190.

Which Continent has the smallest % of wild cats?

a)

Asia

b)

Europe

c)

North America

d)

South America

191.

The pie chart represents 18 people.

How many chose purple?

a)

9

b)

18

c)

6

d)

3

192.

The pie chart represents 20 people.

How many chose green?

a)

20

b)

10

c)

15

d)

5

193.

Which was the LEAST popular?

a)

Chocolate

b)

Vanilla

c)

Mint

d)

Strawberry

194.

Which is the most popular meal?

a)

Chicken Dinner

b)

Pizza

c)

Burger

d)

Salad

195.

Tina spends _____ of her day at work.

a)

33%

b)

29%

c)

9%

d)

6%

196.

Another way of saying one quarter

a)

35%

b)

25%

c)

65%

d)

90%

197.

Another way of saying 32%

a)

Almost a third

b)

Almost 2 thirds

c)

Just under 50%

d)

More than half

198.

Another way of saying 97%

a)

A small fraction

b)

Almost all

c)

Just over a quarter

d)

Just under half

199.

Another way of saying 50%

a)

Half

b)

a quarter

c)

3 quarters

d)

Just under

200.

What angle would you use to represent 42 blue cars out of 60 cars in total on a pie chart?

a)

42 degrees

b)

252 degrees

c)

6 degrees

d)

210 degrees

201.

The pie chart shows the colours of 32 beads. How many green beads are there?

a)

90

b)

8

c)

11

d)

9

202.

The pie chart shows the hair colour of a Year 9 class. A student is selected at random. What is the probability that they have brown hair?

a)

180%

b)

50%

c)

25%

d)

90%

203.

270 ice creams were sold in total. How many were Vanilla?

a)

60

b)

54

c)

80

d)

45

204.

Which was the most frequent marble colour?

a)

Blue

b)

Black

c)

Green

d)

Red

205.

Which was the LEAST popular?

a)

Chocolate

b)

Vanilla

c)

Mint

d)

Strawberry

206.

How many more children walk than take a taxi to school?

a)

45

b)

20

c)

25

d)

35

207.

In total, how many children take a taxi or cycle to school?

a)

5

b)

35

c)

20

d)

15

208.

Which of the following statements is true?

a)

banana is the most popular fruit

b)

only pineapple is liked less than oranges

c)

kiwi is the most popular fruit

d)

apple is the third most popular fruit

209.

Find the mode of these numbers:

4,3,6,4,3,6,6,3,2,1,3

a)

3

b)

6

c)

4

d)

2

210.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

211.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

212.

What is the range?

a)

average

b)

biggest-smallest

c)

the middle #

d)

# happening the most

213.

What is the median?

a)

biggest- smallest

b)

average

c)

the middle #

d)

# that happens the most

214.

At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

215.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

216.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

217.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142.
What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

218.

How many students scored a 100 on the test?

a)

0

b)

2

c)

6

d)

1

219.

How many games did the team play?

a)

15

b)

12

c)

24

d)

14

220.

The stem and leaf plot represents the data set: 32, 38, 40, 44, 44, 46, 49, 53, 55, 58, 62, 65, 68, 70, 72, 81

What number is missing from the stem and leaf plot?

a)

32

b)

44

c)

65

d)

81

221.

What is the mode of the scores?

a)

24

b)

14

c)

34

d)

30

222.

Find the mean.

a)

90.7

b)

90.9

c)

97.4

d)

97.1

223.

Find the median.

a)

95

b)

97.2

c)

96.8

d)

98

224.

What is the range?

a)

97.2

b)

4

c)

3.3

d)

3.2

225.

How many students scored more than 80%?

a)

10

b)

13

c)

7

d)

15

ALGEBRA 1 - Final EOC Review 2023

Total questions: 225

Worksheet time: 9hrs 17mins

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