Free Printable Algebra 1 EOC Review - First Quarter (1 and 2 combined)

1.

x + 3.7 = 9.2

a)

x = 12.9

b)

x = 5.5

c)

x = 6.5

d)

x = 7.2

2.

x - 82.1 = 3.65

a)

x = 11.86

b)

x = 79.25

c)

x = 91.75

d)

x = 85.75

3.

x + 2/3 = 8/9

a)

x = 1/3

b)

x = 2/9

c)

x = 14/9

d)

x = 5/18

4.

5x+1=2x-5

a)

x=-2

b)

x=-6

c)

x=3

d)

x=.5

5.

2x-1=3x+8

a)

x=7

b)

x=-9

c)

x=5

d)

x=3

6.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

7.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

8.

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.

9.

$3x-8<4$

a)

$x<4$

b)

$x>4$

c)

$x<-4$

d)

$x>-4$

10.

$-4x-3<-19$

a)

$x<4$

b)

$x>-4$

c)

$x>4$

d)

$x<-4$

11.

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

a)

$x\ge2$

b)

$x\le-2$

c)

$x\ge-2$

d)

$x\le2$

12.

$4x-6>6x-20$

a)

$x<7$

b)

$x<-7$

c)

$x>7$

d)

$x>-$

13.

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

a)

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

b)

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

c)

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

d)

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

14.

$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)

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

15.

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

a)

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

b)

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

c)

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

d)

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

16.

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

17.

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

18.

Which compound inequality is graphed above?

a)

-2 < x ≤ 2

b)

-2 > x ≤ 2

c)

-2 < x < 2

d)

-2 ≥ x < 2

19.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

20.

Solve:

a)

-4

b)

10

c)

3

d)

-4

21.

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

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

22.

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

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

23.

What type of number is 1/4?

a)

rational number, integer, whole

b)

integer, whole

c)

rational only

d)

integer, whole

24.

What kind of number is 12.33333.....

a)

integer only

b)

whole only

c)

rational only

d)

rational, integer

25.

Pi is rational or irrational?

a)

Rational

b)

Irrational

26.

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

a)

42

b)

46

c)

34

d)

58

27.

8y + 12 - 2z
for y = 4 and z = 2

a)

40

b)

20

c)

84

d)

34

28.

Select all the expressions that result in a rational number.

a)

b)

c)

d)

e)

29.

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

30.

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

31.

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

a)

rational number

b)

Irrational Number

32.

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

a)

Rational

b)

Irrational

33.

Solve the formula for y. What is the 1st step?

a)

Subtract B from each side.

b)

Divide each side by Ax.

c)

Divide each side by B.

d)

Subtract Ax from each side.

34.

$cy=10$

Solve for y.

a)

$y=\frac{10}{c}$

b)

$y=10-c$

c)

$y=10c$

d)

$y=10+c$

35.

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

36.

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

37.

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

38.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

39.

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

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

40.

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)

41.

a)

-9

b)

-3

c)

4

d)

9

42.

a)

A

b)

B

c)

C

d)

D

43.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

44.

$\frac{x+8}{-11}=6$

a)

$x=74$

b)

$x=22$

c)

$x=\frac{74}{11}$

d)

$x=-74$

45.

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

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

46.

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

47.

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

a)

≤, ≥

b)

<, >

48.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

49.

- 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

50.

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

51.

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

52.

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

53.

Match the following

a)

7t + 1 = 5

1.

1 more than the product of 7 and t is 5

b)

7 (t + 1) = 5

2.

7 times the sum of t and 1 is 5

c)

7t = 5

3.

The product of 7 and t is 5

d)

1 + 7t = 5

4.

1 increased by the product of 7 and t is

54.

Organize these options into the right categories.

Categorize the following

Paul can have to up to 5 friends at his birthday party.

The essay must be more than 200 words.

I need fewer than 20 minutes to get ready in the morning.

Anna is shorter than 50 inches.

You need to be 16 or older to drive a car.

To get free shipping, you must spend at least $25.

You must be older than 12 to drive a go-kart.

The soup makes enough for 6 people.

Less Than

Greater Than

Less than or equal to

Greater than or equal to

55.

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

56.

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

57.

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

a)

A

b)

B

c)

C

d)

D

58.

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

59.

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

a)

Parallel

b)

Perpendicular

c)

Neither

60.

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

a)

-7/3

b)

3/7

c)

-3/7

d)

7/3

61.

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

a)

Parallel

b)

Perpendicular

c)

Neither

62.

Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.

a)

y = 3/10x + 40

b)

y = 2.5x + 25

c)

y = 3/10x + 30

d)

y = 3/10x + 25

63.

a)

b)

c)

d)

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

F

b)

G

c)

H

d)

J

68.

Cheryl gets paid $8 per hour at her job at the pet store. She made a total of $96 last week. If h represents the number of hours that Cheryl works, which of the following equations represents this situation?

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

69.

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

70.

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

71.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

72.

Solve for y:
4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

73.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

74.

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)

$35x+7=63$

75.

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

76.

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

77.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

78.

What is the equation of this line?

a)

x = 5

b)

y = 5

c)

y = 5x

d)

x = -5

79.

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

80.

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

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

81.

Which of the following graphs correctly represents:

y=x²

y=-2x+1

a)

b)

c)

d)

82.

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)

83.

4x+8y=20

-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

84.

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)

85.

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

86.

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

a)

6

b)

5

c)

-7

d)

3

87.

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

a)

0

b)

-5

c)

3

d)

-3

88.

What is f(2)?

a)

-4

b)

8

c)

0

d)

5

89.

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

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

90.

a)

Function

b)

Not a function

91.

a)

Function

b)

Not a function

92.

a)

Function

b)

Not a function

93.

a)

Function

b)

Not a function

94.

a)

F

b)

G

c)

H

d)

J

95.

a)

F

b)

G

c)

H

d)

J

96.

a)

F

b)

G

c)

H

d)

J

97.

a)

A

b)

B

c)

C

d)

D

98.

a)

A

b)

B

c)

C

d)

D

99.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

100.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

101.

Is this table a function or not a function?

a)

Function

b)

Not a Function

102.

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)

103.

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}

104.

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

105.

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

106.

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

107.

Given the equation: $y=\frac{2}{3}x+2$ Categorize the following.

Categorize the following

same slope: 2/3

Opposite Reciprocal slope: -3/2

$y=\frac{2}{3}x\ -8$

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

$3x+2y=15$

$2x-3y=-8$

Parallel

Perpendicular

108.

Order the following Steps that will be used to solve this system using Elimination:

-3x + 8y = -5

6x + 2y = -8

a)

Multiply the first equation by 2

b)

Combine the two equations so the x-terms will cancel

c)

Solve a one-step equation for y

d)

plug y = -1 in for y in either equation

e)

Solve for x to find the ordered pair

1)

2)

3)

4)

5)

109.

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

110.

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

111.

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

112.

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

Algebra 1 EOC Review - First Quarter (1 and 2 combined)

Total questions: 112

Worksheet time: 27hrs 49mins

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