Linear Expressions, Equations, and Inequalities

Which inequality represents the statement? There will be at least 20 guest attending the party

• g < 20

• g > 20

• g ≥ 20

• g ≤ 20

Penny solved an equation by subtracting 6 from each side of the equation and then dividing each side by 5. Which of these could have been the equation Penny solved?

• 1/5x + 6 = 11

• 5x - 6 = 9

• 5x + 6 = 21

• 6x + 5 = 17

Solve the Inequality:

4 - 3x > 16

• x > 4

• x > -4

• x < -4

• x < 4

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation.

How many hours per week must she babysit to reach her goal?

• 6 hours

• 7 hours

• 12 hours

• 10 hours

How many solutions does 4(2x - 5) = -16 + 8x have?

• infinitely many solutions

• two solutions

• one solution

• no solution

Solve the inequality

-2(3 + 4n) - 3 < 11 + 2n

• n > 2

• n < -2

• n > -2

• n < 2

• the difference of twice a number and 4 is greater than -10

• the difference of twice a number and 4 is less than -10

• the sum of twice a number and 4 is greater than -10

• the sum of twice a number and 4 is less than -10

What does 5-3x=16 mean?

• the sum of 5 and triple a number is about 16

• the difference of 5 and triple a number is about 16

• the sum of 5 and triple a number is 16

• the difference of 5 and triple a number is 16

• x=2

• x=-1

• x=1

• x=-2

Chris has $10 in a store. He wants to buy p packs of pencils and a binder for school. Which inequality describes this situation if each pencil pack is $2.45 and the binder is $2.00?