Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.
Problem 1 :
Subtraction of z from y.
Problem 2 :
One-half of the sum of numbers x and y.
Problem 3 :
The number z multiplied by itself.
Problem 4 :
One-fourth of the product of numbers p and q.
Problem 5 :
Numbers x and y both squared and added.
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.
Problem 8 :
Sum of numbers a and b subtracted from their product.
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
Problem 2 :
8 less than a number, divided by 3
Problem 3 :
8 times the cube of a number
Problem 4 :
The sum of the square of a number and 4
Problem 5 :
10 times the sum of a number and 9
Problem 6 :
18 fewer than half of a number
Problem 7 :
The quotient of 8 and twice a number
Problem 8 :
2 subtracted from the square of a number
Problem 9 :
Twice the quantity of number decreased by seven
Problem 10 :
The sum of three times the quantity of a number increased by six and half the same number.
Problem 11 :
A quarter of the square of a number
Problem 12 :
12 divided by the difference of a number and 2
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
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) |
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM