Equations Inequalities Study Guide

Teo makes a necklace of x wooden beads at $0.50 each and 6 glass beads at $1.25 each. The average cost of the beads in the necklace is $0.75. Write an equation to model the situation.

• 0.50x + 7.50 = 0.75 (x + 6)

• 0.50x + 0.75x = 6 + 7.50

• 0.50x + 6 =0.75x

• 1.25x + 6x = 0.5x + 0.75x

Write an expression for this phrase.

• 2c

• 2 + c

• 2 - c

Write an expression for this phrase.

• 7 - n

• n - 7

• 7 + n

Evaluate the expression if a = 7, b = 9 and c = 2. On paper, show your substitution and each step.

• 15

• 25

• 125

• 5

Which of the following expressions is true for all values in the table?

• x + 3

• 3x - 1

• 2x + 1

What can be done to find the value of x in the equation 5x = 75 ?

• Multiply both sides of the equation by 5.

• Subtract 5 from both sides of the equation.

• Add 5 to both sides of the equation.

• Divide both sides of the equation by 5.

Solve the equation. On paper, write the equation, show the balancing step and the solution.

8 + g = 21

Solve the equation. On paper, write the equation, show the balancing step and the solution.

6d = 24

Write an expression for this phrase.

• 3 + x

• x + 3

• 3 - x

• 3x

Evaluate the expression if a = 7, b = 9 and c = 2. On paper, show your substitution and each step.

• 21

• 6

• 33

• 27