Equations and Expressions

One-Step Equations +/-

100

Solve for x. x + 2 = 5

x + 2 = 5 -2 -2 x = 3

200

n - 18 = 47

n = 65

300

b + 41 = 23

b = -18

400

Solve for y. y - 12 = -43

y = -31

500

y - 8.6 = -32.5

y = -23.9

One-Step Equations Multiply& Divide

100

Solve for x. x/4 = 12

x = 48 Since x is divided by 4, we must do the opposite and multiply both sides by 4. 12 * 4 = 48

200

13x = 26

x = 2

300

-8a = 56

a = -7

400

m/-12 = -16

m = 192

500

Solve for n. n/-1.2 = 4.96

n = -5.952

Two-Step Equations

100

Solve for x. 2x + 4 = 6

x = 1 2x + 4 = 6 - 4 -4 2x = 2 Divide each side by 2. 2 divided by 2, x = 1.

200

Solve for x. 7x + 3 = 31

x = 4 7x + 3 = 31 - 3 - 3 7x = 28 Since x is being multiplied by 7, you must divide each side by 7. 28 divided by 7, x = 4

300

Solve for z. 23 = -3z - 7

z = -10 -3z - 7 = 23 +7 +7 -3z = 30 Since z is being multiplied by -3, you must divide each side by -3. 30 divided by -3, z = -10

400

Solve for x. 2(-z - 3) + 1 = 19

z = -12

500

Solve for a. Round your answer to the nearest tenth. -12.4 = -19.1 + -7.9a + 3

a is about .5

Mystery Number

100

The sum of the mystery number and 8 is 24. Write an equation and solve.

n + 8 = 24 The mystery number is 16.

200

The difference of the mystery number and 15 is 43. Write an equation and solve.

n - 15 = 43 The mystery number is 58.

300

The product of the mystery number and -7 is 84. Write an equation and solve.

-7n = 84 The mystery number is -12.

400

The quotient of the mystery number and -4 is -12. Write an equation and solve.

n/-4 = -12 The mystery number is 48.

500

3 more than twice the mystery number is 31. Write an equation and solve.

3 + 2n = 31 The mystery number is 14.

Expressions

100

Simplify. 8x - 5(2x + 6)

-2x - 30

200

Identify the coefficients in the following expression and then simplify: 2n - 12 + 4m + 8

2 is the coefficient of n, and 4 is the coefficient of m. 2n - 4 + 4m

300

Simplify. 4(3x - 8) - 3x(x + 4)

-32 - 3x^2

400

Simplify then evaluate for n = 2 and x = -4 2n + 3x - 8(-2x - 3)

2n +19x + 24 and -48

500

Simplify. -8mw - 9w(5w - 3m) - 4w(m + w) + 4mw

35mw - 49w^2