Free Printable Math 1 Unit 1 Review

1.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

2.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

3.

How many terms are in the following expression?
7y + 3 - 7k -2

a)

2

b)

7

c)

4

d)

3

4.

What are the variables in the following expression: 3z + 4x - 1 + 7y

a)

3, 4, 1 and 7

b)

z, x and y

c)

+ and -

d)

15

5.

A plumber charges a flat fee for each job, plus an hourly rate for the number of hours the job takes to complete. The total cost of the job, in dollars can be modeled by the equation

y=50+65x

What does the independent variable in the expression represent in this situation.

a)

the number of jobs, y

b)

the number of hours to complete the job, x

c)

the cost per hour, $65

d)

the total cost for the job, y

6.

A plumber charges a flat fee for each job, plus an hourly rate for the number of hours the job takes to complete. The total cost of the job, in dollars, can be modeled by the equation

$y=50+65x$

What does the coefficient in the expression represent in this situation?

a)

the number of hours to complete the job, x

b)

the cost per hour, $65

c)

the flat fee, $65

d)

the flat fee, $50

7.

A plumber charges a flat fee for each job, plus an hourly rate for the number of hours the job takes to complete. The total cost of the job, in dollars can be modeled by the equation

$y=50+65x$

What does the constant the constant term in the expression represent in this situation?

a)

the number of jobs, x

b)

the cost per hour, $65

c)

the cost per hour, $50

d)

the flat fee, $50

8.

A scuba diver is descending at a constant rate. The expression $-15-3m$ gives his elevation, in feet m minutes after he begins the descent. Which of the following statements is false.

a)

The diver's elevation is increasing by 3 feet each minute.

b)

When the diver begins to descent, he is 15 feet below the surface of the water.

c)

The coefficient represents the rate of change

d)

The variable represents the time in minutes.

9.

$b+6<25$

a)

Expression

b)

Equation

c)

Inequality

10.

$7y-9=3c$

a)

Expression

b)

Equation

c)

Inequality

11.

$5f=6v+3$

a)

Expression

b)

Equation

c)

Inequality

12.

$3d=12$

a)

Expression

b)

Equation

c)

Inequality

13.

$3z-9$

a)

Expression

b)

Equation

c)

Inequality

14.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

15.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

16.

Which expression is equivalent to $8c\ +\ 6\ -\ 3c\ -\ 2?$

a)

$5c+4$

b)

$5c+8$

c)

$11c+4$

d)

$11c+8$

17.

Which expression is equivalent to the expression $-3\left(4x-2\right)-2x?$

a)

$-8x$

b)

$-16x$

c)

$-14x-2$

d)

$-14x+6$

18.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

19.

-4(-4d + 5)

a)

-16d+20

b)

16+20

c)

16d+ -20

d)

16s-20

20.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

21.

Simplify the following expression:

-6x + 4(x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

22.

A restaurant received a shipment of five crates of glasses with g glasses in each crate. The manager dropped one crate, breaking all of the glasses inside of it. Which expression shows how many glasses are left?

a)

5g − g

b)

5

c)

4

d)

g

23.

Which expression is equivalent to:
(e + e) + e

a)

3e

b)

e + 3

c)

5e

d)

2e − e

24.

Which expression is equivalent to:
6m − m

a)

5m

b)

7m

c)

8m

d)

5

25.

Which matches the expression below?

2x + 5

a)

Five times a number increased by two.

b)

The sum of five and twice a number.

c)

Two more than the product of five and a number.

26.

Which matches the expression below?

x −9

a)

Nine more than a number.

b)

The sum of a number and nine.

c)

A number decreased by nine.

27.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

28.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

29.

Three less than twice a number

a)

2x-3

b)

3x-2

c)

3-2x

d)

2-3x

30.

Erik ran 3 less than 5 times the distance that Kerry, k, ran. Which expression represents how far Erik ran?

a)

3 - 5k

b)

5k - 3

c)

5 (3-k)

d)

5 (k-3)

31.

Which expression correctly represents that Jaime walked 7 miles fewer than 3 times the number of miles (r) that Robert walked.

a)

3(r-7)

b)

3r - 7

c)

7(3-r)

d)

7 - 3r

32.

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

a)

60 - 5d

b)

60 - d

c)

60 + 5d

d)

5d - 60

33.

Marie currently has a collection of 58 stamps. If she buys s stamps each week for w weeks, which expression represents the total number of stamps she will have?

a)

58sw

b)

58 + sw

c)

58s + w

d)

58 + s + w

34.

Translate the following expression: a number split up into 5 groups

a)

5g

b)

5 ÷ 2

c)

g ÷ 5

d)

5 ÷ g

35.

Translate the following expression: seven times the quantity of a plus b

a)

7 x a + b

b)

a + b x 7

c)

7(a + b)

d)

a(7 + b)

36.

What operation does "SUM" represent?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

37.

What operation does "QUOTIENT" represent?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

38.

What does the word "POWER" represent?

a)

Parentheses

b)

Multiplication

c)

Exponents

d)

Division

39.

Definition of a term.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

40.

Definition of a constant

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

41.

Definition of a factor.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

42.

Definition of a coefficient.

a)

Parts of an expression separated by + and - signs

b)

The number multiplied times a product of variables or powers of variables in a term

c)

A term or expression with no variables

d)

The numbers or expressions that when multiplied produce a given product

43.

In the following expression, the number 11 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

44.

Identify the coefficient of the second term:

-9b + 4x - 9

a)

-9

b)

9

c)

4

d)

b

e)

x

45.

A variable is a ________________ or __________________ that represents an unknown value.

a)

letter or symbol

b)

term or expression

c)

constant or coefficient

d)

noughts or crosses

46.

An Algebraic Expression is a mathematical phrase that includes at least one ___________________.

a)

variable

b)

coefficient

c)

constant

d)

Sponge Bob

47.

"Subtracted from" and "less than" are terms that mean you need to "turn" or "flip" the terms around.

a)

True

b)

False

48.

Write an algebraic expression for:
14 decreased by a number

a)

14+n

b)

14-n

c)

n-14

d)

14 decreased by a number

49.

The product of 6 and y..

a)

6 + y

b)

6y

c)

y - 6

d)

y / 6

50.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

51.

Translate the sentence into an equation.
Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

52.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

53.

Find the product:
(5n-8)(5n+8)

a)

25n²-64

b)

10n²

c)

5n²+16

d)

16

54.

Find the product:
(3r-4)(7r-5)

a)

21r²-43r+20

b)

21r+43r²+9

c)

7r+12r

d)

r+2r

55.

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

56.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

57.

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

58.

Find the difference.
(7p + 4p³ - 8) - (-3p²+ 2 - 9p)

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ -3p² +16p -10

d)

4p³ +3p² + 16p + 10

59.

Multiply.
(b+3)(b²+2b+1)

a)

b³+6b²+6b+3

b)

b³+5b²+7b+3

c)

4b³+8b²+3b

d)

3b³+6b²+3b

60.

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

61.

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

62.

Simplify:
(x² - 3x - 2) + (5x² + 10x - 5)

a)

5x⁴ - 30x² + 10

b)

6x² + 7x - 7

c)

6x⁴+ 7x² - 7

d)

4x² + 13x + 7

63.

Find the product:
(2x+3)²

a)

2x+3+2x+3

b)

4x²+12x+9

c)

4x²+9

d)

16x²+9

64.

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

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

65.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

66.

What is the perimeter for the given rectangle:

a)

6x³ - 9x² + 10x - 15

b)

6x² + 1x - 15

c)

6x² + 4x + 4

d)

6x³ + 1x² - 15x

67.

Subtract the polynomials.
(3x³ + 3x² + 5) – (x³ – 2x² + x – 4)

a)

4x³ + 5x² + 9

b)

2x³ + 5x² – x + 9

c)

2x³ + 1x – 1x² – 1

d)

2x⁶ +5x⁵ – 1x – 1

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

When simplifying this expression, you must _____ first. $\left(10x^3-4x^2+x\right)-\left(6x^2+10x-9\right)$

a)

combine like terms

b)

distribute the negative to all terms

c)

distribute the negative to the second set of terms

71.

The length of a rectangle is x + 2 units and the width is 3x + 7
units. Find the area.

a)

3x² + 9x + 14 square units

b)

3x² + 13x + 14 square units

c)

4x + 9 square units

d)

8x + 18 square units

72.

What is the GCF of the terms below?

24x³ + 36x²

a)

8x

b)

6x²

c)

12x²

d)

4x

e)

12x³

73.

Solve the following equation.
4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

74.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

75.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

76.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

77.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

78.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

79.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

80.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

81.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

82.

3r - 5 = 2r

a)

No solution

b)

Infinitely many solutions

c)

r = 5

83.

Solve for x:

6x - 5 = 7

a)

2

b)

3

c)

6

d)

12

84.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

85.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

86.

Which of the following are basic rules used for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

87.

What is the solution of 25 + k = 18

a)

18

b)

-7

c)

43

d)

7

88.

Solve:
32 - 7x = -6(x + 3)

a)

50

b)

3

c)

-3

d)

-50

89.

Solve:
2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

90.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

91.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

92.

WRITE AN EQUATION

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

a)

x/2 + 4 = 12

b)

x/2 - 4 = 12

c)

12 - 4 = x

d)

12 - 4 = -x/2

93.

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

a)

4x=472

b)

9x=472

c)

4+9x=472

d)

4+x=472

94.

After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad?

a)

n + $5.12 = $27.10

b)

n - $5.12 = $27.10

c)

n - $5.12 = -$27.10

d)

$5.12 - n = $27.10

95.

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

a)

14h = 112

b)

14 / h = 112

c)

h + 14 = 112

d)

h - 14 = 112

96.

Joe's BBQ sells BBQ by the pound. Michelle buys $8.75 worth of sides and then 6 pounds of barbeque. If her total bill was $40.55, how much was each pound of barbeque?

a)

$5.30

b)

$3.95

c)

$8.22

d)

$5.32

97.

Jason says that 10 less than one third of his age is 11 years old. How old is Jason?

a)

3 years old

b)

7 years old

c)

57 years old

d)

63 years old

98.

Rachel and Sharon are splitting up their Pokemon cards. Rachel has 4 fewer than 3 times as many as Sharon. Together they have 100 cards. Which equation could be used to solve for how many cards Sharon had originally?

a)

n + (3n - 4) = 100

b)

n - (3n - 4) = 100

c)

n + (4 - 3n) = 100

d)

4 - 3n = 100

99.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

a)

4 boxes

b)

5 boxes

c)

6 boxes

d)

7 boxes

100.

Diego scores 11 more points than Travis. Together they score 21 points. How many points did each person score?

a)

Diego: 11, Travis: 10

b)

Diego: 10, Travis: 11

c)

Diego: 5, Travis: 16

d)

Diego: 16, Travis: 5

101.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

102.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

103.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

104.

X + 6 > 10

a)

X > 16

b)

X > -4

c)

X < -4

d)

X > 4

105.

-7x + 15 ≥ -20

a)

x ≥ -5

b)

x ≤ -5

c)

x ≥ 5

d)

x ≤ 5

106.

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

a)

<

b)

≤

107.

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

a)

YES

b)

NO

108.

a)

A)

b)

B)

c)

C)

d)

D)

109.

a)

A)

b)

B)

c)

C)

d)

D)

110.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

111.

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

a)

A

b)

B

c)

C

d)

D

112.

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

113.

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

114.

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

115.

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

116.

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

117.

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

118.

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

119.

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

120.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

121.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

122.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

123.

The members of Indian Spring Middle School's cheerleaders need to raise at least $2000 to attend their national competition. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

a)

300x + 10 ≥ 2000

b)

10x + 300 ≤ 2000

c)

10x + 300 > 2000

d)

300 + 10x ≥ 2000

124.

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

a)

14 ≥ 2n+3

b)

2+3n ≤ 14

c)

14-3n ≤ 2

d)

14x+2 ≤ 3

125.

Which situation can be represented by the equation

40x + 20 = 200?

a)

Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

b)

Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

c)

Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

d)

Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

126.

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

a)

c + s = 6

14c + 17s = 99

b)

c + s = 99

14c + 17s = 6

c)

c + s = 6

17c + 14s = 99

d)

c + s = 99

17c + 14s = 6

127.

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Write a system of linear inequalities to model the situation.

a)

s + t < 20

6s + 7.50t ≥ 92

t >7

b)

s + t ≤ 20

6s + 7.50t ≥ 92

t ≤ 7

128.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

129.

Solve for w $A=lw$

a)

$w=Al$

b)

$w=\frac{A}{l}$

c)

$w=A-l$

d)

$w=A+L$

130.

Solve for b $A=\frac{bh}{2}$

a)

$b=\frac{2h}{A}$

b)

$b=\frac{h}{2A}$

c)

$b=\frac{A}{2h}$

d)

$b=\frac{2A}{h}$

131.

Solve for w undefined

a)

$w=\frac{2P}{l}$

b)

$w=\frac{2l+P}{2}$

c)

$w=\frac{l+P}{2}$

d)

$w=\frac{P-2l}{2}$

132.

Solve for m $y=mx+b$

a)

$m=x+b-y$

b)

$m=y-b-x$

c)

$m=\frac{x-b}{y}$

d)

$m=\frac{y-b}{x}$

133.

Solve for a $p=\frac{w}{a}$

a)

$a=pw$

b)

$a=\frac{w}{p}$

c)

$a=\frac{p}{w}$

d)

$a=2wp$

Math 1 Unit 1 Review

Total questions: 133

Worksheet time: 11hrs 5mins

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