WRITE EACH PHRASE AS AN ALGEBRAIC EXPRESSION WORKSHEET

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.

Problem 1 :

Subtraction of z from y.

Solution

Problem 2 :

One-half of the sum of numbers x and y.

Solution

Problem 3 :

The number z multiplied by itself.

Solution

Problem 4 :

One-fourth of the product of numbers p and q.

Solution

Problem 5 :

Numbers x and y both squared and added.

Solution

Problem 6 :

Number 5 added to three times the product of numbers m and n.            Solution

Problem 7 :

Product of numbers y and z subtracted from 10.

Solution

Problem 8 :

Sum of numbers a and b subtracted from their product.

Solution

Answer Key

1)  y - z

2)  (1/2)(x + y)

3) z2

4)  (1/4) (pq)

5)  x2 + y2 

6)  5 + 3mn

7)  10 - yz.

8)  ab - a - b

To translate words into an algebraic expression or equation, write the numbers and operations in the order they appear (working from left to right)

Problem 1:

5 more than 6 times a number

Solution

Problem 2 :

8 less than a number, divided by 3

Solution

Problem 3 :

8 times the cube of a number

Solution

Problem 4 :

The sum of the square of a number and 4

Solution

Problem 5 :

10 times the sum of a number and 9

Solution

Problem 6 :

18 fewer than half of a number

Solution

Problem 7 :

The quotient of 8 and twice a number

Solution

Problem 8 :

2 subtracted from the square of a number

Solution

Problem 9 :

Twice the quantity of number decreased by seven

Solution

Problem 10 :

The sum of three times the quantity of a number increased by six and half the same number.

Solution

Problem 11 :

A quarter of the square of a number

Solution

Problem 12 :

12 divided by the difference of a number and 2

Solution

Problem 13 :

The sum of 4 times a number and that same number cubed.           Solution

Problem 14 :

The product of the quantity x plus y and the quantity x minus y            Solution

Answer Key

1)  6x + 5

2)  x/3 - 8

3)  8x³

4)  x² + 4

5)  10(x + 9)

6)  (x/2) - 18

7)  8/2x

8)  x² - 2

9)  2x - 7

10)  3(x + 6) + (1/2)x

11)  x²/4

12)  (x - 2)/12

13)  4x + x³

14)  (x + y) (x - y)

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