7th Expressions and Equations

Which expressions can be used to find the cost of 3 packs of gum, g, and 7% sales tax?

• 3g + 0.07g

• 3(g + 0.07g)

• 3g + 0.07

• 3(1.07g)

• 3g + 1.07g

Which values satisfy the inequality

• -39

• -25

• -24

• -23

• -22

Mrs. Clinton spends 30% of her lunch hour eating, 10 minutes talking on the phone and 2/5 hour reading a book. If she spends the remainder of the time answering emails, how much time does she spend answering emails?

• 8 minutes

• 18 minutes

• 12 minutes

• 15 minutes

Select the correct use of the distributive property.

• 8(2a + b) = 16a + b

• 1/2(8a - 6b) = 4a - 4b

• -5(2a + 3b) = -10a +15b

• -4(1/2a - 3) = -2a +12

Janey wants to hang a mirror on the back of her bedroom door. Her door is 32 inches wide and the mirror is 18 1/4 inches wide. If Janey centers the mirror on her door, how much space will there between the edge of the mirror and the edge of the door?

• 13 3/4 inches

• 12 3/8 inches

• 7 3/4 inches

• 6 7/8 inches

What steps should be used to solve the equation 2/3𝑥 − 6 = 18?

• Multiply both sides by 2/3 then add 6 to both sides.

• Add 6 to both sides, then multiply both sides by 3/2.

• Multiply both sides by 3/2, then add 6 to both sides.

• Divide both sides by 2/3 then subtract 6 from both sides.

Which expression is equivalent to 7-3(2b +8) + 5b

• -11b -17

• -b - 17

• 37b + 8

• 37b + 36

Mr. Pierre bought a motorhome for x dollars, three years later the motorhome was worth 0.65x. Which expression is another way to describe the change in the value of the motor home?

• 65% increase

• 65% decrease

• 35% increase

• 35% decrease

Which expression is not equivalent to the others?

• 5/7a - 18 - 2/7a + 6

• 6 - 18 - 3/7a

• -18 + 3/7a + 6

• 5/7a - 2/7a - 18 + 6

Hannah earns $9.60 an hour. She earns time and a half for every hour she works over 40 hours. If Hannah worked 52 hours this week, how much money did she earn?

• $748.80

• $499.20

• $556.80

• $384