Algebra 1 Unit 4 Test

Answer explanation

Answer explanation

• -1.8

• 1.8

• -4.5

• 4.5

Answer explanation

The x-intercept is where the graph

hits the x-axis.

• 11

• 10.5

• 2.1

• 0

Answer explanation

The x-intercept is where the graph

hits the x-axis.

• 11

• 10.5

• 2.1

• 0

Answer explanation

The y-intercept is where the graph

hits the y-axis.

You are buying both corn and rice to make chicken feed. Rice is $2 per bag, and corn costs $3 per bag. You have $24 to spend. Select ALL the coordinate points that represent possibilities for the number of bags of corn and rice you can buy.

• (2, 1)

• (2, 0)

• (4, 5)

• (7, 3.5)

Answer explanation

A coordinate point is a solution if it lies in the shaded region OR on the solid line AND makes sense in the context of the situation. Here, x and y stand for bags of rice and corn. Thus, they must be positive integer values (no fractions, no negatives)

• (5, 2)

• (-3, 0)

• (-4, 0)

Answer explanation

Graph on Desmos. Points on a dashed line are NOT solutions.

• (5, -4)

• (-3, 0)

• (0, -4)

Answer explanation

Graph on Desmos. Points on a solid line ARE solutions.

You are creating small and large prize bags for Halloween. The small bags cost $2.50 each, while the large bags cost $3.75 each. You can spend no more than $125. Let x represent the number of small bags and y represent the number of large bags. Which inequality represents the situation?

Answer explanation

Decide which number goes with which variable. Write it down! Then, "no more than" means less than or equal to.

You are selling two types of raffle tickets: 50-50 and grab bag. The 50-50 raffle tickets are $10 each, while the grab bag raffle tickets cost $7.50 each. You raise at least $450. Let x represent the number of 50-50 raffle tickets and y represent the number of grab bag raffle tickets. Which inequality represents the situation?

Answer explanation

Decide which number goes with which variable. Write it down! Then, "at least" means greater than or equal to.