Math Expressions and Costs

On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven?

• x + 15

• x – 5

• x + 5

• x – 15

Select all the expressions that are equivalent to -2/5(15 – 20d + 5c).

• -30 + 40d -10c

• -6 +8d -2c

• -2c +8d -6

• 6 - 8d +2c

• -2(3-4d+c)

Simplify the expression 2(10) + 2(x – 4).

• 2x + 16

• x + 12

• 2x + 12

• x + 16

A store offers 20% off all items. If x is the original purchase price, select all of the expressions which represent the final price with the discount.

• 1.2x

• 0.8x

• x

• x – 0.2x

• x + 0.2x

Suppose 8x + 16 ice cream cones were sold on Saturday and 7x – 9 were sold on Sunday. What is the total number of ice cream cones sold?

• 15x + 25

• 15x + 7

• x + 7

• x + 25

There are 11.5 ounces of cereal in a container. Additional cereal is poured into the container at a rate of 2.25 ounces per second. How many ounces are in the container after 4 seconds?

• 103.5 ounces

• 9 ounces

• 46 ounces

• 20.5 ouces

Select all correct ways of factoring (-3x - 9).

• (-3(x + 3))

• 3(x + 3)

• (3(-x - 3)

• -3(x - 3)

• 3(x - 3)

Consider the expression (8a + 16c). Part A: Factor the expression using the GCF.

Consider the expression 8a + 16c. Part B: What is the value of the expression when a = -5 and c = -1?

Consider the expression -4b + 8c + 12 - 8b - 2c + 6. Part A: Simplify the expression.

• -12b + 6c +18

• 12b + 6c +18

• -12c - 6c - 18

• 4b +10c +18

Answer explanation

-12b + 6c + 18