Algebra 1 Unit 4 Test {23-24}

The cost for videos at Al's Movies and at Beth's Videos is shown in the table.

Which two equations can create a system of equations to be used to best represent the table of values?

CHOOSE 2 EQUATIONS.

Tags

A1.2I

A1.1A

There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7 inches or 12 inches. The diameter of all 15 plates combined is 140 inches.

Which system of equations can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?

• x + y = 140

  12x + 7y = 15

• 7x + 12y = 140

  7x + 12y = 15

• x + y = 15

  7x + 12y = 140

• x + y = 15

  12x + 7y = 140

Tags

A1.2I

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Tags

A1.3F

A1.1B

The graph shows the distance that Car A and Car B are from Dallas over a four-hour period.

Car A is driving toward Dallas, and Car B is driving away from Dallas.

Based on the graph, how far from Dallas will the two cars be when they are both the same distance from Dallas at the same time?

• 20 miles

• 60 miles

• 200 miles

• 300 miles

Tags

A1.1F

A1.3F

The cost for renting a cab at the Yellow Cab Company and the Blue Cab Company are shown in the graph.

At approximately what distance traveled in miles would the cost be the same for each cab company and what would be the approximate cost?

• When the cabs travel a distance of approximately 8 miles both the Yellow Cab and Blue Cab will charge a cost of $3.00.

• When the cabs travel a distance of approximately 2 miles both the Yellow Cab and Blue Cab will charge no fee.

• When the cabs travel a distance of approximately 5 miles both the Yellow Cab and Blue Cab will charge no fee.

• When the cabs travel a distance of approximately 3 miles both the Yellow Cab and Blue Cab will charge a cost of $8.00.

Tags

A1.3G

A1.1A

Which graph best represents a system of equations that has no solution?

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Tags

A1.3F

Larry is starting his own lawn service company. He has initial startup costs totaling $300, plus ongoing operating expenses. The function representing Larry's expenses and the function representing Larry's income for lawn services are shown in the graph.

Approximately how many lawns will Larry have to mow before he starts making a profit?

• Larry must mow approximately 300 lawns before he starts making a profit.

• Larry must mow approximately 350 lawns before he starts making a profit.

• Larry must mow approximately 25 lawns before he starts making a profit.

• Larry will start making a profit when he mows his first lawn.

Tags

A1.3G

A1.1A

Mathematical Equivalence

ON

Tags

A1.3G

A1.1F

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Tags

A1.1D

A1.3H

• (0, 0)

• No solution

• (0, 3)

• All points on the line y=-2x+3

  {Infinite Solutions}

Tags

A1.5C

A1.1B