Unit 1 Quiz Review (Linear Equations)

Identify the property of equality that justifies the missing step to solve the given equation.

• Addition property of equality

• subtraction property of equality

• Division property of equality

• multiplication property

Which is the solution to the inequality: 8x + 2 < 6x - 10

• x > 4

• x < 4

• x > -6

• x < -6

Solve: 6 + 3(x - 4) = -10x + 2 + 13x

• x = 0

• no solution

• many solutions

• x = 8

Solve: 8x - 2 = 3x - 2 + 2x

• x = 0

• no solution

• many solutions

• 3/2

Solve:

• -15

• 10

• 15

• 9

Solve for m: 3h + m = 10

• m = 30h

• m = 10 - 3h

• m = 10 + 3h

• m = 3h - 10

Solve for b: bx - 8 = 10

• b = 18x

• b = 18 - x

• b = 18/x

• b = 10/x + 8

Solve for m

• m = (1/3)ht

• m = (3h)/t

• m=3ht

• m = h/(3t)

A caterer charges $600 plus $25 per guest to cater a wedding. John and Kathy don’t want to spend more than $6000 on catering. Create an inequality to determine the number of guests that can be invited.

• 600 + 25x < 6000; x < 216

• 600 + 25x > 6000; x > 216

• 600 + 25x ≤ 6000; x ≤ 216

• 600 + 25x ≥ 6000; x ≥ 216

Charles needs to save at least $2000 to buy a computer. He has already saved $750 and earns $15/hour working as a lifeguard. Create and solve an inequality to determine how many hours he needs to work to have enough money to buy the computer.

• 15x + 750 ≤ 2000, Charles must work 83 hours

• 15x + 750 ≤ 2000, Charles must work 84 hours

• 15x + 750 ≥ 2000, Charles must work 83 hours

• 15x + 750 ≥ 2000, Charles must work 84 hours