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Translating Expressions (8th graders)

Total questions: 20

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
How would you translate
x - 5 = 12 into words?
a)
x - 5 = 12
b)
The product of x and 5 is twelve
c)
x less than 5 is 12
d)
Five less than x is 12.
2.

Which matches the expression below?

a)

The quotient of a number and seven, decreased by four.

b)

Four more than a number divided by seven.

c)

The difference of a number divided by seven and four.

3.

Which matches the equation below?

3x −11 = 17

a)

Eleven less than the product of a number and three equals seventeen.

b)

Three times a number, increased by seventeen is eleven.

c)

Seventeen less than the product of three and a number is eleven.

4.
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
5.
Which algebraic expression best represents the following verbal expression?
 
half a number x plus 4
a)
2x + 4
b)
x + 4(½)
c)
½x + 4 
d)
x + ½ + 4
6.
Translate the statement into an equation:
The sum of three times a number and ten is equal to eight times the number.
a)
3 + 10 = 8
b)
3x + 10 = 8
c)
3x + 10 = 8x
d)
3(x + 10) = 8x
7.
"Combined" represents what operation?
a)
Subtraction
b)
Addition
c)
Multiplication
d)
Division
8.

Two times the sum of a number and 5 is 20

a)

2(x+5)=20

b)

(2x)+5=20

c)

2x+(x+5)=20

d)

x+x+5=20

9.
Translate this phrase into an Algebraic expression.
57 more than 3 times Kate's score
Use the variable g to represent Kate's score.
a)
57g + 3
b)
3g - 57
c)
3g + 57
d)
57 + 3g
10.
Translate this phrase into an algebraic expression.
Twice pi divided by the cube of the sum of x and 2 
a)
2π ⁄ (x³ + 2)
b)
2π³ ⁄ (x + 2)
c)
2π ⁄ (x + 2)³
d)
2π ⁄ (x³ + 2³)
11.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
12.

Translate to an algebraic expression.

6 minus the quotient of u and 2

a)

6 - (u ÷ 2)

b)

6 - 2u

c)

6 ÷ u + 2

d)

6 - (2 ÷ u)

13.
To double a number means to multiply by what number?
a)
3
b)
2
c)
0
d)
4
14.
A "quotient" is the answer to what type of math problem?
a)
Addition
b)
Division
c)
Exponential
d)
Inequality
15.
What is the answer to a multiplication problem called?
a)
Difference
b)
Sum
c)
Quotient
d)
Product
16.
Seven less than the difference of five times a number and two.  
a)
7 - (5x - 2)
b)
(x - 2) - 7
c)
5(x - 2) - 7
d)
(5x - 2) - 7
17.

Which is a true statement of 9x2

a)

nine times a number

b)

a number times 9

c)

nine squared times a number

d)

nine times a number squared

18.

𝑥3 ∙ 𝑦4 write the verbal expression

a)

the quotient of x and y

b)

sum of two numbers one to the third power the other to the fourth power

c)

product of x and y

d)

product of a number cubed and another number raised to the fourth power

19.

two fifths the cube of a number

a)

2/5 b

b)

2/5 *b3

c)

b3+2

d)

b3/2

20.

73 write the verbal expression

a)

seven squared

b)

the quotient of seven and three

c)

seven cubed

d)

seven to the fourth power