Keystone Algebra Review Day 5 of 10

Jenny has a job that pays her $9 per hour plus tips (t). Jenny worked for 5 hours on Monday and made $70 in all. Which equation could be used to find t, the amount Jenny made in tips?

• 70 = 5t + 9

• 70 = 5(9) + t

• 70 = 9t + 5

• 70 = 9t / 5

Tags

CCSS.HSA.CED.A.3

Joan has a gym gift card worth $110. Each time she visits the gym, $13 is deducted from the amount remaining on the gift card. Which equation can be used to determine the amount of money (m), in dollars, remaining on the gift card after Joan visits the gym d times?

• m = -13 + 110d

• m = 13- 110d

• m = 13d - 110

• m = -13d + 110

Tags

CCSS.HSF-BF.A.1A

Keyshawn buys 110 baseball cards to start a collection. He purchases 35 more baseball cards each week. Which equation could be used to represent the number of baseball cards (b) in Keyshawn’s collection after w weeks?

• w = 35b + 110

• b = 35w + 110

• w = 110b + 35

• b = 110w + 35

Tags

CCSS.HSF-BF.A.1A

A balloon is released from a height of 5 feet. The balloon rises at a constant rate of 2 feet per second. Which equation represents the height of the balloon (y), in feet, x seconds after it is released?

• x = 5y + 2

• y = 5x + 2

• y = 2x + 5

• x = 2y + 5

Tags

CCSS.HSF-BF.A.1A

Mr. de Graaf is marking Anika's test and notices she made an error when solving. Help Anika understand her error by rewriting the solution and CORRECTING the steps she completed incorrectly. 

2(x - 3) + 6(x + 8) = 15

2x - 3 + 6x + 8 = 15

8x + 5 = 15

8x = 10

x = 5 / 4

• She mis-combined like terms.

• She distributed incorrectly.

• She should have added 5 to both sides.

• She should have multiplied by 8.

Tags

CCSS.8.EE.C.7B

The equation below describes the relationship between the number of months (x) since a customer began renting a storage unit and the total amount of money (y), in dollars, the customer has paid to the storage facility.

`y=25x+40`

Which statement describes a solution of the equation based on the number of months the customer has rented the storage unit?

• After exactly 16 months, the customer has paid $400.

• After exactly 400 months, the customer has paid $16.

• After exactly 16 months, the customer has paid $440.

• After exactly 440 months, the customer has paid $16.

Tags

CCSS.HSF.LE.B.5

Anna will spend $30 to buy chicken and beef. Anna uses an equation to determine the number of pounds of chicken (y) she can buy based on the number of pounds of beef (x) she buys.

The ordered pair (2, 7) is a solution to the equation. What does the ordered pair (2, 7) represent in this situation?

• Anna will spend $2 to buy 7 pounds of beef

• Anna will buy 7 pounds of beef when she buys 2 pounds of chicken

• Anna will buy 2 pounds of beef when she buys 7 pounds of chicken

• Anna will spend $7 to buy 2 pounds of chicken

Tags

CCSS.HSF.IF.A.2

Francisco purchased x hot dogs and y hamburgers at a baseball game. He spent a total of $18. The equation below describes the relationship between the number of hot dogs and the number of hamburgers purchased.

`3x+4y=18`

The ordered pair (2, 3) is a solution of the equation. What does the solution (2, 3) represent?

• He purchased 2 hot dogs and 3 burgers

• Burgers cost 1.5 times as much as hot dogs

• Hot dogs are $2 each and burgers are $3 each

• He spent $2 on hot dogs and $3 on burgers

In this equation, which spot shows the distributive property?

Equation: 2(x - 5) + 4(x + 6) = 12

Line 1: 2x - 10 + 4x + 24 = 12

Line 2: 6x + 14 = 12

Line 3: 6x = -2

Line 4: x = -1 / 3

• Equation to Line 1

• Line 1 to Line 2

• Line 2 to Line 3

• Line 3 To Line 4

Tags

CCSS.8.EE.C.7B

• It is not valid because she should have subtracted 6.

• It is valid since -6 + 6 = 0.

• It is not valid because she should have added 6 to 4x as well.

• It is valid because she added the same number to both sides of the equation.

Tags

CCSS.HSA.REI.A.1