Equations

Select all the situations that can be represented by the equation below.

5w + 4 = 99

• Clare buys 4 bouquets, each with the same number of flowers. The florist puts an extra flower in each bouquet before she leaves. She leaves with a total of 99 flowers.

• Andrew babysat 5 times this past month and earned the same amount each time. To thank him, the family gave him an extra $4 at the end of the month. Andrew earned $99 from babysitting.

• A family of 5 drove to a concert. They paid $4 for parking, and all of their tickets were the same price. They paid $99 in total.

• 5 bags of marbles each contain 4 large marbles and the same number of small marbles. Altogether, the bags contain 99 marbles.

Tags

CCSS.HSA.CED.A.3

5w + 4 = 99

Could 18 be a solution to the equation above?

• yes

• no

Tags

CCSS.6.EE.B.5

Solve the following equation for a number 𝑥. Verify that your solution is correct.

-15 = 8x + 1

• -2

• 2

• -1.75

• 1.75

Tags

CCSS.7.EE.B.4A

Solve the following equation for a number 𝑥. Verify that your solution is correct.

2(3x - 19) = 80

• 19 1/6

• -19 1/6

• 7

• -7

Tags

CCSS.7.EE.B.4A

At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation 2x + 40 = 62 describes this situation. What does the variable x represent? 2x + 40 = 62

• The number of jumping jacks Diego does

• The number of pushups Diego does

• The number of pushups Noah does

• the number of jumping jacks Noah does

Tags

CCSS.7.EE.B.4A

In August, Cory begins school shopping for his triplet daughters.

One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for 𝑑 dollars each. He spent a total of $135.97. Write and solve an equation to find the cost of one pair of shoes.

• shoes cost $44.49

• shoes cost $-36.99

• shoes cost $36.99

• shoes cost $41.99

Tags

CCSS.7.EE.B.4A

In August, Cory begins school shopping for his triplet daughters.

One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for 𝑑 dollars each. He spent a total of $135.97. The following month Cory returned to the store to purchase some more socks. He had $40 to spend. He found a pair of shoes to buy for $35 and he has a coupon for ¼ off one pair of shoes. Write and solve an inequality to find the greatest amount of pairs of socks Cory can purchase if he purchases the pair of shoes with the coupon in addition to socks? Be sure to define your variable.

• 7

• 8

• 5

• 10

The three lines shown in the diagram below intersect at the same point. The measures of some of the angles in degrees are given as:

3(𝑥 − 2)°, 35𝑦 °, 12°, 42°.

Write and solve an equation that can be used to find the value of 𝑥.

• 12*

• 16*

• 14*

• 18*

Tags

CCSS.7.G.B.5

The three lines shown in the diagram below intersect at the same point. The measures of some of the angles in degrees are given as:

3(𝑥 − 2)°, 3/5𝑦 °, 12°, 42°.

Write and solve an equation that can be used to find the value of 𝑦.

• -223.3*

• 210*

• 43 1/3 *

• -43 1/3*

Tags

CCSS.7.G.B.5

Jenny invited Gianna to go watch a movie with her family. Jenny’s mother, father, and grandfather accompanied Jenny’s little brother to the movie along with Jenny and Gianna. The family purchased refreshments and spent a total of $18.50. If the total amount of money spent on tickets and refreshments was $93.50, write and solve an equation to find the cost of one movie ticket. Be sure to define the variable.

• $15.58

• $18.75

• $15

• $12.50

Tags

CCSS.7.EE.B.4A