Abeka Algebra Midterm

A bakery has an order to make 100 cupcakes. The workers can frost and decorate 3 cupcakes per minute. Let x be the number of minutes the workers have been working. Write an inequality that says the number of cupcakes remaining to be decorated is less than 20.

• 3x-100<20

• 100+3x<20

• 100-3x>20

• 100-3x<20

Tags

CCSS.7.EE.B.4B

Given the recursive formula of a sequence below, find the explicit formula.
a₁ = 5
a_n = a_n-1 - 2

• a_n = n - 2

• a_n = -2n + 7

• a_n = 2n - 7

• a_n = -2n + 5

Tags

CCSS.HSF.BF.A.2

Which function has the same y-intercept as the graph?

• y = (12-6x) / 4

• 27 + 3y = 6x

• 6y + x = 18

• y + 3 = 6x

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A movie theater uses the function f(t) where t is the number of tickets sold for a movie to model the total amount of money collected for that movie. A reasonable domain would be...

• Positive Integers

• Positive Real Numbers

• Both Positive and Negative Integers

• Both Positive and Negative Real Numbers

What is the average rate of change from 0 to 4?

• -5.25

• 5.25

• -5.33

• 5.33

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the y-intercept of the graph of the linear function that includes the points in the table.

• 6

• 5.5

• 0

• 0.5

On the first hour of his journey, Santa visits 5203 homes. As the night continues, he increases that amount by 6% each hour. Select the equation that would determine the total number of houses Santa visits x hours later.

• y = 5203(.06)^x

• y = 5203(1.06)^x

• y = 5203(.6)^x

• y = 5203(1.6)^x

Tags

CCSS.HSF.LE.A.2

Based the tables, what is the solution of the system?

• (1, 2)

• (-1, -8)

• (2, -5)

• No Solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which inequality is represented in the graph?

• y ≥ -3x + 4

• y ≤ -3x + 4

• y ≥ -4x - 3

• y ≤ -4x - 3

Tags

CCSS.HSA.REI.D.12

If f(18) = 7(18) + 40 which function gives an appropriate representation of f(x)?

• f(x) = 7x

• f(x) = 18

• f(x) = 7x + 40

• f(x) = 18x + 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2