Two Step Equation Word Problems

Which of the following is the algebraic form for the verbal statement shown?

“The product of negative nine and a number increased by seven is seventeen.”

• -9k+7=17

• $\frac{k}{-9}+7=17$

• 7+(-9k) = 17

• $7+\frac{k}{-9}=17$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Ethan earns $8 per hour for walking Ms. Barn’s two dogs, plus an additional $5 for brushing the dogs after their walk.

•Let x represent the hours Ethan works.

•Let y represent the total he earns each day.

Which number sentence best represents this situation?

• 8 + 5 = y

• $8x\times2+5=y$

• 8x + 5 = y

• 8x - 7 = y

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her account. How much money will she need to save weekly to meet her goal?

• $56.25

• $62.50

• $68.75

• $70.00

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Which of the following verbal sentences represents algebraic sentence below?

24 = -5x – 4

• Twenty four is the same as negative five times a number less than four.

• Twenty four is equal to negative five times a number less four.

• Twenty four is negative four times a number less than five.

• Twenty four is equal to five times a number less four.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.4

Which could be used to find the number n?

The sum of a number, n, squared and two is eighteen.

• $𝑛^2−2=18$

• $2𝑛+2=18$

• $2𝑛−2=18$

• $𝑛^2+2=18$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

Which statement is best represented by the equation 3x = 288?

• A.Ms. Jones makes 3 equal stacks of cafeteria trays. There are 288 trays in all. What is x, the number of trays in each stack?

• A.Ms. Jones makes 3 stacks, each with 288 cafeteria trays. What is x, the number of trays in all?

• A.Ms. Jones stacks 3 cafeteria trays. There are 288 more trays to stack. What is x, the number of trays in all?

• A.Ms. Jones has to stack 288 cafeteria trays in all. She has 3 trays left to stack. What is x, the number of trays Ms. Jones has already stacked?

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Sarah went to the art show this weekend at the oceanfront. She spent a total of $16.00. She spent $6.00 on admission and went to 8 tables. She spent the same amount of money, m, at each table. The following equation can be used to find how much money she spent at each table.

16 = 6 + 8m

How much money did Sarah spend at each table?

• $0.50

• $0.80

• $1.25

• $2.00

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Which algebraic sentence translates to the verbal sentence —

“Nine less than a number is the same as four times the number”?

• 9 - x = 4x

• x - 9 = 4x

• 4x - 9 = x

• x - 4x = 9

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

A towing company charges a flat fee of $50 in addition to $2 a mile to tow vehicles. Antonio paid $74 to have his truck towed by the company. How many miles was Antonio’s truck towed?

• 12 miles

• 48 miles

• 87 miles

• 198 miles

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.2

CCSS.6.RP.A.3

On Friday, Extreme View Helicopter Tours flew 34 times. They flew the same number of times on Saturday as they did on Sunday. The total number of times they flew for the three days was 118. How many times did Extreme View Helicopter Tours fly on Saturday?

• 34

• 42

• 59

• 84

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7