Algebra 1: Expressions & Solving Equations

Writing Expressions

100

Write as an algebraic expression:

u decreased by 17

u - 17

200

Write as an algebraic expression.

twice q

2q

300

Write an expression:

The sum of 6 and the product of 3 and a number

6 + 3n

400

The quotient of 3 times a number and 7

(3n)/7

Solving Equations

100

Solve for the variable.

d + 4 = -5

d=-9

200

Solve for the variable:

26 = 8 + v

v=18

300

Solve for the variable

x/4=6

x=24

400

Solve for the variable:

-15x=0

x=0

More Solving Equations

100

Solve for the variable:

15+ b = 23

b = 8

200

Solve for the variable:

x - 7 = 13

x = 20

300

Solve for the variable:

-104 = 8x

x = -13

400

Solve for the variable:

-6=b/18

b = -108

Writing Equations

100

Write an algebraic equation. 

The product of three and a number increased by ten is the same as fourteen.

3x + 10 = 14

200

Write an algebraic equation. 

The product of four and the sum of x and y is the same as seven subtracted from z.

4(x + y) = z - 7

300

Write an algebraic equation. 

The sum of four and b multiplied by the sum of x and y is equivalent to the product of seven and z.

(4 + b)(x + y) = 7z

400

Translate the statement into an equation. 

3 times the sum of a number and 4 is the same as 5 times the quantity of the same number subtracted from 11.

3(x + 4) = 5(11 - x)