Free Printable PSHS_Translating expressions and equations

Worksheets

PSHS_Translating expressions and equations

Total questions: 28

Worksheet time: 1hrs 27mins

Name

Class

Date

Which matches the expression below?

2x + 5

Five times a number increased by two.

The sum of five and twice a number.

Two more than the product of five and a number.

Which matches the expression below?

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

Four more than a number divided by seven.

The difference of a number divided by seven and four.

Which matches the equation below?

3x −11 = 17

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

Three times a number, increased by seventeen is eleven.

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

The difference of four times a number and six.

4x − 6

4x + 6

6x − 4

What is the difference between an expression and equation?

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

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

There is not a difference

Expressions do not have variables and equations have variables

Translate: two times the sum of a number and five

2 + y + 5

2y + 5

2(y + 5)

2 - y + 5

What does "product" mean?

Multiply

Divide

Add

Subract

Translate: two times the sum of a number and five

2 + y + 5

2y + 5

2(y + 5)

2 - y + 5

4 less than x

4 - x

x - 4

-4x

10.

Translate: Six fewer than twice a number is four.

6 - 2x = 4

2x - 6 = 4

x² - 6 = 4

6 - x² = 4

11.

Mike is 6 years younger than Iris. What expression can be used to find Mike’s age?

6 + a

6 - a

a - 6

12.

Pat worked 4 hours on Monday and 3 hours on Friday.
If he earned the same hourly rate each day, which expression best represents the situation?

4x + 3x

4 + 3x

3 + 4

13.

Rachel swims 3 laps each minute. Write an equation to show the relationship between number of laps (n) and time (t).

3n = t

3 + n = t

3t = n

3 + t = n

14.

Admission to a circus is $16 for adults and $8 for children. Choose the expression to find the cost of 3 adult tickets and some number of children's tickets.

48 + 8x

16x + 8y

16x + 64

16x + 8x

15.

It costs $25 to rent a car each day and $0.95 per mile.
Which expression represents the cost of the rental for one day?

.95x + 25

.95 + x + 25

.95 + 25x

16.

I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?

200 + 50x

200x + 50

200 + x + 50

17.

I went to the mall with $75 and bought a pair of shoes and a few candy bars for $1.25 each. How much did I spend?
Write an expression for the situation.

75 - x - 1.25y

75 - x - 1.25

75 + x + 1.25y

18.

a number more than 12

n + 12

12n

12 + n

12 - n

19.

Five times Mike's age, increased by nine

5(x+9)

9(5+x)

9x+5

5x+9

20.

5 less than the product of 7 and s

7s - 5

5 - 7 + s

7(s - 5)

5 - 7s

21.

Two more than 4 times a number is -18.

4x + 2 = -18

2x + 4 = -18

18 = 4x +2

22.

Translate the sentence into an inequality.
Seven subtracted from n is greater than or equal to 18.

n - 7 > 18

7 - n ≥ 18

n - 7 ≥ 18

n + 7 ≥ 18

23.

Write an inequality for the following statement.
n is less than 9

n < 9

n > 9

n ≤ 9

n ≥ 9

24.

Translate the statement into an equation:
The sum of three times a number and ten is equal to eight times the number.

3 + 10 = 8

3x + 10 = 8

3x + 10 = 8x

3(x + 10) = 8x

25.

The difference of x and 8, divided by 5

x – 8 ÷ 5

x/8 ÷ 5

x/8/5

(x – 8)/5

26.

Ten less than triple a number n is at most four.

$3n+10\le4$

$3n-10\ge4$

$3n-10\le4$

$3n-10>4$

27.

x²- 9

nine less than a number doubled

double a number decreased by nine

the square root of a number minus nine

nine less than a number squared

28.

the quotient of the cube root of a number and two

Reset

PSHS_Translating expressions and equations

Total questions: 28

Worksheet time: 1hrs 27mins

Similar Resources on Wayground