Free Printable 7th Grade Trimester 1 Review

1.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

2.

Translate: twelve less than a number

a)

$12-x$

b)

$x-12$

c)

$12x$

d)

$x+12$

3.

Translate: the sum of eight and the product of a number and nine

a)

$9x+8$

b)

$8x+9$

c)

$\frac{x}{9}+8$

d)

$9x-8$

4.

Translate: five times the sum of a number and four

a)

$5x+4$

b)

$5\left(x+4\right)$

c)

$5\left(4x\right)$

d)

$4\left(x+5\right)$

5.

Translate: the product of three and four less than a number

a)

$3\left(4-x\right)$

b)

$3\left(x-4\right)$

c)

$3x-4$

d)

$4-3x$

6.

Translate: thirteen less than the product of negative six and a number

a)

$13--6x$

b)

$13-6x$

c)

$6x-13$

d)

$-6x-13$

7.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

8.

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

9.

Write a verbal expression for:
2a+6

a)

6 more than the product of 2 times a

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

10.

Six more than some number is 52

a)

x + 6 = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

11.

Which algebraic expression represents
"six less than a number"?

a)

6/k

b)

k/6

c)

6 - k

d)

k - 6

12.

Ten decreased by four times a number.

a)

10 - 4x

b)

4x - 10

c)

10 - x

d)

10/4x

13.

Which matches the expression below?

x −9

a)

Nine more than a number.

b)

A number decreased by nine.

c)

Nine minus a number

d)

A number less than nine.

14.

The quotient of a 15 and a number is 1

a)

15 / g = 1

b)

g+ 1/15

c)

g / 15 = 1

d)

15g = 1

15.

Half the difference of four and a number is twelve

a)

1/2 (4 - x) = 12

b)

1/2x - 4 = 12

c)

1/2 (4) - x = 12

d)

x / 2 - 4 = 12

16.

The quotient of seven and a number is twelve

a)

7n = 12

b)

n/7 = 12

c)

7/n = 12

d)

12n = 7

17.

Choose the algebraic expression that represents

"Four dollars cheaper than two times price n"

a)

4 - 2n

b)

2 (n - 4)

c)

2n - 4

d)

2n + 4

18.

Choose the algebraic expression that represents

"The difference of a number and four"

a)

n + 4

b)

4 - n

c)

n - 4

d)

$\frac{4}{n}$

19.

Choose the algebraic expression that represents

"The product of four and a number"

a)

4 + n

b)

4n

c)

4 - n

d)

$\frac{4}{n}$

20.

Choose the algebraic expression that represents

"The quotient of four and a number"

a)

4 + n

b)

4n

c)

4 - n

d)

$\frac{4}{n}$

21.

Choose the algebraic expression that represents

"Two times the difference of a number and four"

a)

2n - 4

b)

2 (n - 4)

c)

2 (4 - n)

d)

$2\left(\frac{4}{n}\right)$

22.

Choose the algebraic expression that represents

"Four times a number"

a)

4n

b)

$\frac{4}{n}$

c)

$\frac{n}{4}$

d)

$n\times n\times n\times n$

23.

Choose the algebraic expression that represents

"Twice the sum of a number and four"

a)

2n + 4

b)

2 (n + 4)

c)

2 (4 - n)

d)

2 + 4n

24.

Choose the algebraic expression that represents

"Four less a number"

a)

4 - n

b)

n - 4

c)

$\frac{4}{n}$

d)

4 < n

25.

Choose the algebraic expression that represents

"Four more a number"

a)

4n

b)

n + 4

c)

$\frac{4}{n}$

d)

4 > n

26.

Who is correct?

Sallie

$16\div2\times8=64$

Brian

$16\div2\times8=1$

a)

Sallie

b)

Brian

c)

I'm not sure

d)

Both

27.

Insert parentheses to make the following statement true:

$3+5\times2-10=6$

a)

$3+\left(5\times2\right)−10=6$

b)

$3+5\times\left(2−10\right)=6$

c)

$\left(3+5\right)\times2−10=6$

28.

$\left(4\times3\right)+16\div2=?$

a)

14

b)

15

c)

20

d)

3

29.

Which comes first in the order of operations, addition or subtraction?

a)

Addition

b)

Subtraction

c)

Whichever is first left to right

d)

whichever is first right to left

30.

8 ÷ 8 + 6 × 2

a)

8

b)

13

c)

14

d)

23

31.

Solve This Expression -
( 7 x 3 ) + 9

a)

29

b)

30

c)

31

d)

32

32.

(7 x 5) + (6 x 4)

a)

48

b)

69

c)

59

d)

72

33.

(3 x 3) + 6 - 4 =

a)

10

b)

11

c)

15

d)

9

34.

(4 x 8)-(9 + 7)

a)

16

b)

25

c)

41

d)

32

35.

What would be my first step to simplify?
3 + 4 x 6 - 4

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

36.

Solve:

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

37.

Solve:

23 + (30 ÷ 10) x 4 =

a)

35

b)

32

c)

12

d)

45

38.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

39.

Apply the order of operations and choose the correct answer:

24\div6\times2\div4

a)

32

b)

0.5

c)

2

40.

Apply the order of operations and choose the correct answer:

30+16\div2

a)

38

b)

23

c)

44

41.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

42.

What is the order of the steps for the following expression?
50- 16 x 2 ÷ (12-4)

a)

parentheses
multiplication
subtraction
division

b)

parentheses
multiplication
division
subtraction

c)

parentheses
division
multiplication
subtraction

d)

parentheses
subtraction
multiplication
division

43.

2 + (9²- 4)

a)

16

b)

77

c)

79

44.

90 - 3(5² )

a)

15

b)

240

c)

195

45.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

46.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

47.

3(2² ) + 24 ÷ 8

a)

15

b)

10.5

c)

4.5

48.

Simplify!

a)

8

b)

5

c)

-8

d)

0

49.

Simplify!

a)

-1

b)

1

c)

0

d)

2

50.

-5 + 7

a)

12

b)

-2

c)

2

d)

-12

51.

-3 - 9

a)

-12

b)

6

c)

27

d)

12

52.

4 - (-6)

a)

-2

b)

24

c)

-10

d)

10

53.

-7 + 2

a)

9

b)

-5

c)

5

d)

14

54.

(-4) + (-8)

a)

4

b)

12

c)

-12

d)

-4

55.

8 - (-3)

a)

11

b)

-5

c)

5

d)

24

56.

-4 + 5

a)

-9

b)

3

c)

-1

d)

1

57.

(-5) - (-4)

a)

-1

b)

9

c)

-9

d)

1

58.

0 - 12

a)

12

b)

11

c)

6

d)

-12

59.

-6 + -9

a)

-15

b)

3

c)

6

d)

15

60.

3 + (-9)

a)

6

b)

-12

c)

-6

d)

12

61.

-7 + -6

a)

-1

b)

11

c)

1

d)

-13

62.

A decrease of 5 inches.

a)

positive

b)

negative

63.

A bank withdraw of $25.00.

a)

positive

b)

negative

64.

Which number is greatest?

a)

-1

b)

-4

c)

-6

65.

Which number is SMALLER?

-3 or -6

a)

-3

b)

-6

c)

Neither

66.

When adding positive numbers on a number line, you move to the ____________.

a)

Right

b)

Left

67.

When you are subtracting using a number line, you want to jump to the.......

a)

right

b)

left

c)

up

d)

down

68.

Subtracting a negative number (like $13-\left(-6\right)$ ) is the same thing as...

a)

Adding (13+(-6))

b)

Adding the opposite (13+6)

c)

Subtracting (13-6)

69.

$25-\left(-9\right)=$

a)

34

b)

16

c)

14

d)

36

70.

numbers that are greater than zero and to the right of zero on the number line

a)

integers

b)

opposite numbers

c)

positive numbers

d)

negative numbers

71.

numbers that are less than zero and located to the left of zero on the number line

a)

positive numbers

b)

negative numbers

c)

integers

d)

signed numbers

72.

Penny and her cousins each have a different bank balance. What is the sum of all the accounts?

a)

-3

b)

7

c)

-2

d)

4

73.

Which set of numbers is arranged from least to greatest?

a)

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

b)

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

c)

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

d)

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

74.

Marie and Nancy are scuba diving. Marie descends to a depth of 15 feet below sea level. Nancy descends to a depth of 22 feet below sea level. What is the difference in their depths?

a)

13 ft

b)

37 ft

c)

7 ft

d)

-13 ft

e)

-7

75.

The temperature on Sunday was -15^o C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

a)

-27

b)

-3

c)

3

d)

27

76.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)

-9 + (-22) = -13

b)

9 + (-22) = 13

c)

9 + (-22) = -13

d)

none

77.

The air temperature in the North Pole in the morning was 3 degrees Celsius. By 10:00am the temperature dropped 12 degrees. By noon the temperature had gone up 5 degrees. At 3:00pm the temperature went up 9 degrees. By nightfall the temperature had dropped 16 more degrees. What was the temperature at the North Pole at nightfall?

a)

11 degrees

b)

0 degrees

c)

-11 degrees

d)

-9 degrees

78.

The average daily temperature in Denton went from -8°F in January to 43°F in March. What was the change in the average daily temperature from January to March?

a)

35°

b)

51°

c)

-35°

d)

-51°

79.

Define "Positive Number"

a)

A number that is greater than 0

b)

A whole number

c)

When you add

d)

A positive or negative whole number

80.

Define "Negative Number"

a)

A number greater than zero

b)

A number and its opposite combine to equal 0

c)

A number less than zero

d)

Zero

81.

1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation?

a)

she hiked up 508 feet

b)

she hiked down 508 feet

c)

she hiked up 692 feet

d)

she hiked down 692 feet

82.

2. Elaine was rock climbing. She began her climb at an elevation of 100 feet below ground level, then hiked up 500 feet. What is her elevation now?

a)

600 feet about ground level

b)

600 feet below ground level

c)

400 feet above ground level

d)

400 feet below ground level

83.

3. The temperature in the afternoon was 16°C. The temperature at night was -3°C. What is the change in temperature?

a)

the temperature increased 19°C

b)

the temperature decreased 19°C

c)

the temperature increased 13°C

d)

the temperature decreased 13°C

84.

5. The temperature in the afternoon was -5°C. What is the temperature after it dropped 6 degrees?

a)

the temperature is 11°C

b)

the temperature is -11°C

c)

the temperature is 1°C

d)

the temperature is -1°C

85.

7. The temperature increased 2°F one hour ago. If the current temperature is 60°F, what was the temperature one hour ago?

a)

58°F

b)

62°F

c)

-58°F

d)

-62°F

86.

6. The temperature dropped 4°F one hour ago. If the current temperature is 58°F, what was the temperature one hour ago?

a)

54°F

b)

62°F

c)

-54°F

d)

-62°F

87.

When multiplying fractions you do what?

a)

KCF

b)

Find the least common denominator

c)

Multiply all of the numbers together

d)

Multiply top times top and bottom times bottom

88.

A negative divided by a positive is a ________

a)

positive

b)

negative

89.

What is the sign of:

the product of two positive numbers?

a)

Positive

b)

Negative

c)

Zero

90.

$\left(-2\right)^2$

a)

4

b)

-4

c)

2

d)

-2

91.

$\left(-4\right)^3$

a)

-12

b)

12

c)

16

d)

-64

e)

64

92.

If $a\cdot\left(-3\right)=-6$ , what is a?

a)

2

b)

-2

c)

1

d)

-3

93.

(-13)(-3)(2)(-6)

a)

Positive

b)

Negative

94.

$-5^2$ and $\left(-5\right)^2$ have the same value

a)

true

b)

false

95.

On math test, correct answers would be awarded 5 points, incorrect answers would be awarded -2 points, and no answers would be awarded -1 points. Out of 12 questions, Rara answered 7 questions correctly, 3 questions incorrectly, and she did not answer the remaining. What was the total points Rara got from the test?

(a)

96.

Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 8 times the number that comes up. He tosses a 3 and a 6. Express the total points Joe gains as an operation of integers.

a)

6 x 5 + 3 x (-8)

b)

6 x (-8) + 3 x 5

c)

6 x 5 - 3 x (-8)

d)

6 x 8 - 3 x 5

97.

Identify each true statement. (Hint: there are 3)

a)

(-27) / (-3) = 9

b)

10 - (-4) = -14

c)

(-9) - 5 = -4

d)

4 * (-7) = -28

e)

(-12) + 13 = 1

98.

Which example below is correct?

a)

-9 - 4

-9 + (-4)

-13

b)

-4 - 9

4 + (-9)

-5

c)

-9 - 4

-9 - (-4)

-5

d)

9 - 4

9 + (-4)

-5

99.

What will your product be if you multiply the following signs?

(-)(-)(-)(-)

a)

POSITIVE (+)

b)

NEGATIVE (-)

100.

What will your quotient be if you divide the following signs?

(-)(+)(-)

a)

POSITIVE (+)

b)

NEGATIVE (-)

101.

What will your quotient be if you divide the following signs?

(-)(-)

a)

POSITIVE (+)

b)

NEGATIVE (-)

102.

What will your product be if you multiply the following signs?

(-)(+)

a)

POSITIVE (+)

b)

NEGATIVE (-)

103.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

104.

What is the GCF? 3x²-2x

a)

3

b)

3x

c)

x

d)

2

105.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

106.

Factor by using GCF:
8n³ + 2n²

a)

2n²(4n-1)

b)

2n²(4n + 1)

c)

n²(8n+2)

d)

3n(4n+1)

107.

Factor out the GCF

3x³ + 9x

a)

3x (x²+ 3)

b)

3x ( x³ + 9)

c)

x (3x² + 9)

d)

3x (x³ + 3x)

108.

Factor by GCF:
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

109.

What is the GCF (Greatest Common Factor) of 12 and 6?

a)

1

b)

6

c)

2

d)

3

110.

GCF 24 and 36

a)

8

b)

6

c)

12

d)

4

111.

What is the GCF of 56 and 49?

a)

14

b)

2

c)

8

d)

7

112.

What is the greatest common factor of 15 and 36?

a)

6

b)

8

c)

4

d)

3

113.

What does GCF mean?

a)

Great Cookie Fever

b)

Greatest Compared Factor

c)

Greatest Common Multiple

d)

Greatest Common Factor

114.

Factor: 63 + 45p

a)

9(7 + 5p)

b)

5(9 + 7p)

c)

9p(7 + 5p)

d)

7(9 + 5p)

115.

Factor out the GCF

3x³ + 9x

a)

3x (x²+ 3)

b)

3x ( x³ + 9)

c)

x (3x² + 9)

d)

3x (x³ + 3x)

116.

Factor using GCF or monomial factoring:

2n²- 8n³

a)

2n²(n - 4n²)

b)

2n²(1 - 4n)

c)

2n³(10 - 8n²)

d)

3n(1 - 4n)

117.

What is the GCF of 18 and 27?

a)

9

b)

3

c)

18

d)

6

118.

2 x 2 x 2 or 2³is the prime factorization of

a)

6

b)

12

c)

22

d)

8

119.

Use a number tree to find the prime factorization of 48

a)

4x2x6

b)

4x2²x3

c)

3x2⁴

d)

12x4

120.

Create a factor tree and find the prime factorization for 80

a)

2⁴⋅5

b)

4²⋅5

c)

2⋅2⋅2

d)

8⋅5⋅2

121.

Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct.

a)

4⋅2⋅5

b)

2⋅3²⋅7

c)

15²⋅7

d)

7²⋅4²

122.

Write 144 in prime factorization. Use a factor tree. Show your work.

a)

2² x 3⁴

b)

2⁴ x 3²

c)

2³ x 3³

d)

2⁴ x 3³

123.

What number has the prime factorization of 2³• 3² • 5?

a)

360

b)

720

c)

180

d)

240

124.

GCF of 99 and 54

a)

9

b)

3

c)

6

d)

8

125.

Carlos has 36 tomato plants and 81 pepper plants to place in rows. Each row must have the same number of each plant and he must have no plants left over. What is the largest number of rows Carlos can make?

a)

At most, he can make 6 rows.

b)

At most, he can make 8 rows

c)

At most, he can make 9 rows.

d)

At most, he can make 12 rows.

e)

The answer is not given.

126.

Distribute

2(x+3)

a)

2x+6

b)

2x+3

c)

2x+5

127.

Distribute

3(x+4)

a)

3x+7

b)

3x+4

c)

3x+12

128.

Distribute

4(x+5)

a)

4x+5

b)

4x+9

c)

4x+20

129.

Distribute

5(x+2)

a)

5x+2

b)

5x+7

c)

5x+10

130.

$3^2\ =\$

a)

3 x 2

b)

3 x 3

131.

$x^2=\$

a)

x + x

b)

x (x)

132.

$8x-2x$

a)

6x

b)

6

133.

Solve for x: 1 - 3x - 8x = 12

(a)

134.

Solve for x: -2 = 5x - 8 - 2x

(a)

135.

Solve for x: -7(x - 5) = 84

(a)

136.

In the expression x - 53 - 4x - w + 6x + 8 , -4x is a

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

137.

In the expression x - 53 - 4x - w + 6x + 8 , list the terms.

a)

-53, 8

b)

6

c)

x, -53, -4x, -w, 6x, 8

d)

-4, 6

138.

In the expression x - 53 - 4x - w + 6x + 8 , list the coefficients on the "x" terms

a)

1, -4, -6

b)

-4, 6

c)

1, 4, 6

d)

1, -4, 6

139.

n -10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n -13

140.

A term can be made up of which of the following?

a)

a number

b)

a variable

c)

a coefficient with a variable

d)

all of the above

141.

What are the constants in 3x+4-5+6y?

a)

3,6

b)

x,y

c)

4,-5

d)

4,5

e)

3x 6y

142.

What is a constant?

a)

A term with no variables.

b)

A number.

c)

A term with numbers and variables.

d)

A letter.

143.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

144.

Simplify this expression (combine like terms):
x + x + x + x

a)

4 - x

b)

4x

c)

x

d)

x+4

145.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

146.

What is the result of 11a +7a?

(a)

147.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

148.

25x⁵/5x³

a)

5x

b)

5x⁸

c)

-5x²

d)

5x²

149.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

150.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

151.

Rewrite using positive exponents.
3x⁻²

a)

3 ⁄ x²

b)

1 ⁄ 3x²

c)

x² ⁄ 3

d)

-3x²

152.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

153.

Simplify the expression.

a)

9x³

b)

2x³

c)

2x⁴

d)

9x⁴

154.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

155.

a)

10x⁹

b)

24x¹⁴

c)

24x⁹

d)

10x¹⁴

156.

Simplify
x³⋅x⁶

a)

x⁹

b)

x¹⁸

c)

x¹

d)

x²

157.

Simplify. Type any exponents using shift and 6 key (^).

x^5\cdot x^7

(a)

158.

Identify the constant term:
4x³ + 2x - 9

a)

4

b)

-2

c)

-9

d)

9

159.

$5^2\ \cdot\ 5$

a)

$25^2$

b)

120

c)

$5^3$

d)

$10^2\ or\ 100$

160.

The bottom number of a power is called...

a)

Power

b)

Exponent

c)

Base

d)

The big one

161.

The little number of a power is called...

a)

Base

b)

Power

c)

Exponent

d)

The little one

162.

56y - 38y =

(a)

163.

-19y - 23y =

(a)

164.

Simplify y⁰

a)

y

b)

0

c)

1

d)

1y

165.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

166.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

167.

What is the solution of the equation?
8 = x + 1

a)

9

b)

7

c)

6

d)

8

168.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

169.

r + 12 = 25

a)

37

b)

13

c)

300

d)

Answer not Given

170.

To Solve the Equation Below, you'd
x - 62 = 123

a)

add 62 to each side

b)

subtract 62 from each side

c)

multiply each side by 62

d)

Add 123 to each side

171.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

172.

What is your first step when you solve x + 5 = 12

a)

Add 5 to 5 and add 5 to 5 to 12

b)

Subtract 5 from 5 and subtract 5 from 12

c)

Subtract 12 from 12 and subtract 12 from 5

d)

Add 12 to 12 and add 12 to 5

173.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

174.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

175.

What is the inverse of division?

a)

Addition

b)

Multiplication

c)

Subtraction

176.

What is the inverse of subtraction?

a)

Division

b)

Multiplication

c)

Addition

177.

How would you solve this equation?

$-2+y=10$

a)

Add 2 to both sides

b)

Subtract 2 from both sides

c)

Add 10 to both sides

d)

Subtract 10 from both sides

178.

How would you solve this equation?

$-4n=40$

a)

Add 4 to both sides

b)

Subtract 40 from both sides

c)

Divide both sides by -4

d)

Multiply both sides by -4

179.

How would you solve this equation?

$\frac{\ \ \ x}{-5}=-8$

a)

Add 5 to both sides

b)

Multiply both sides by -5

c)

Divide both sides by -5

d)

Add 8 to both sides

180.

What is the first step to solve this equation?

$-2y+8=-16$

a)

Subtract 8 from both sides

b)

Add 2 to both sides

c)

Divide both sides by -2

d)

Add 16 to both sides

181.

What is the first step to solve this equation?

$\frac{n}{3}-11=-4$

a)

Add 11 to both sides

b)

Multiply both sides by 3

c)

Add 4 to both sides

d)

Subtract 3 from both sides

182.

Solve this equation: Answer as a number only (no variable or =)

$x+7=-11$

(a)

183.

Solve this equation: Answer as a number only (no variable or =)

$y\ -\ 12\ =\ -20$

(a)

184.

Solve this equation: Answer as a number only (no variable or =)

$-10n=-50$

(a)

185.

Solve this equation: Answer as a number only (no variable or =)

$\frac{\ \ \ x}{-4}=-13$

(a)

186.

Solve this equation: Answer as a number only (no variable or =)

$3x+7=-17$

(a)

187.

Solve this equation: Answer as a number only (no variable or =)

$\frac{n}{6}-3=5$

(a)

188.

Translate the equation from words to Algebra:

5 times a number x minus 4 is equivalent to 16

a)

5x-4=16

b)

5xx-4=16

c)

4-5x=16

d)

16-4=5x

189.

The quotient of 32 and n added to negative 10 is the same as negative 6

a)

$-10+\frac{32}{n}=-6$

b)

$-10+\frac{n}{32}=-6$

c)

$\frac{32}{n}+10=-6$

d)

$\frac{n}{32}+10=6$

190.

$\frac{r}{10}+4=5$

a)

r=10

b)

r=3

c)

r=7

d)

r=-6

191.

$\frac{z}{2}+5=3$

a)

z=-16

b)

z=4

c)

z=16

d)

z=-4

192.

4w-9=-9

a)

w=45

b)

w=0

c)

w=2

d)

w=7

193.

-12a+4=100

a)

-8

b)

12

c)

8

d)

-12

194.

$6+\frac{x}{2}=4$

a)

-4

b)

4

c)

20

d)

-20

195.

$-2=2+\frac{x}{4}$

a)

16

b)

0

c)

-16

d)

-4

196.

$-15=-4t+5$

a)

-5

b)

2

c)

5

d)

-2

197.

2r+10=-2

a)

4

b)

-4

c)

6

d)

-6

198.

What is the prime factorization of 20 written in exponential notation?

a)

2 x 5

b)

1 x 20

c)

2 x 10

d)

2² x 5

199.

What is the prime factorization of 24 written in exponential notation?

a)

2³ x 3

b)

2² x 3 x 4

c)

2² x 3

d)

3 x 8

200.

What is the prime factorization of 18?

a)

9 x 2

b)

3 x 2²

c)

3² x 2

d)

3³

201.

A prime number...

a)

has one factor.

b)

has more than 2 factors.

c)

has 100 factors.

d)

has exactly 2 factors: 1 and the itself.

202.

The following prime factorization represents which number: 2² x 3 x 7

a)

14

b)

84

c)

42

d)

70

203.

A composite number ...

a)

has more than 2 factors.

b)

has one factor.

c)

has at least 10 factors.

d)

is always a really big number.

204.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

a)

2⋅3⋅5⋅7

b)

2³⋅3²⋅5⋅7

c)

2²⋅3²⋅5⋅7

d)

8⋅9⋅35

205.

Find the prime factorization of 100 in exponential form.

a)

10 × 10

b)

5⁴

c)

4 x 25

d)

2²× 5²

206.

Is 5, a prime or composite number?

a)

Prime

b)

Composite

207.

530 is divisible by 2 and 5

a)

True

b)

False

208.

a)

18 = 2 x 2 x 3

b)

18 = 2 x 9

c)

18 = 2 x 3 x 3

209.

Find the prime factorization of 30.

a)

30 = 5 x 6

b)

30 = 2 x 3 x 5

c)

30 = 2 x 3 x 6

210.

a)

42 = 2 x 3 x 7

b)

42 = 2 x 3 x 6

c)

42 = 2 x 3 x 5

211.

a)

56 = 7 x 2 x 2 x 2 x 2

b)

56 = 7 x $2^3$

c)

56 = 7 x 2 x 2 x 2

d)

56 = $7\ \times\ 2^4$

212.

Only 1 answer below could be correct for the prime factorization of a number. Which answer could be correct.

a)

4⋅2⋅5

b)

2⋅3²⋅7

c)

15²⋅7

d)

7²⋅4²

7th Grade Trimester 1 Review

Total questions: 212

Worksheet time: 7hrs 42mins

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