Algebra 1 Quarter 1 Benchmark Review

If g(x) = -2x² + 4x what is the value of g(3)?

• -6

• 6

• 30

• -6x² + 12x

Tags

CCSS.HSF.IF.A.2

• f(-1) = 0; because -1 is not in the domain

• f(3) = -5; because -5 is not in the range

• f(6) = 1; because 6 is in the domain

• f(12) = 3; because 3 is in the range

• f(2) = -6; because f(x) would not be a function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Joe is sitting on the roof of a house. He tosses a ball to a friend who is sitting on the ground.

The height, y, in feet, of the house is a function of time, x, in seconds, as shown in the table below.

• The house is 2 ft tall.

• The ball took 9 second to reach the ground.

• The ball is originally 9 ft above the ground.

• The ball reaches its maximum height after 2 second.

Estella collected pledges for a fundraiser from friends and family for each mile (m), that she runs in the marathon. The function representing the amount pledged in dollars by each member shown in the table below.

• If the function P represents the amount pledged by Cindy's parents, then P(m) = 14.00m

• If the function B represents the amount pledged by Cindy's brothers, then B(m) = 11.50m

• If the function S represents the amount pledged by Cindy's sisters, then S(m) = 10.10m

• If the function F represents the amount pledged by the females in the family, then F(m) = 19.85m

Tags

CCSS.HSF-BF.A.1B

Jose looked at the inequality

3x + 6y > 5 and said that (0,1) is one of the possible solutions to the inequality.

Is he correct?

• Yes, because 3 ⋅ 0 + 6 ⋅ 1 is greater than 5

• Yes, because 3 ⋅ 0 + 6 ⋅ 1 is less than 5

• No, because 3 ⋅ 0 + 6 ⋅ 1 is greater than 5

• No, because 3 ⋅ 0 + 6 ⋅ 1 is less than 5

Mike graphed the inequality 4x - 3 ≤ y on a coordinate plane. Which graph represents this inequality?

Hint: Flip the inequality so "y" is on the left side.

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Tags

CCSS.HSA.REI.D.12

Examine the following graph of the linear inequality y < - 4/5x -1

Determine which statements about the solution to the linear inequality are true. Select all that apply

• The point (5, ‒5) is a solution to the linear inequality.

• The point (‒3, ‒2) is a solution to the linear inequality.

• Points along the boundary are not included in the solution.

• Points along the boundary are included in the solution.

Tags

CCSS.HSA.REI.D.12

Which of these inequalities are graphed below?

• y < -x + 6

• y > -x + 6

• y ≤ x + 6

• y ≥ x + 6

Tags

CCSS.HSA.REI.D.12

Which graph represents 4x + 3y = 12?

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Jill claims that the solution to 81 = 3 + 6(x + 5) is x = 8. She shows her work to justify her solution.

81 = 3 + 6(x + 5)

Step 1: 81 = 3 + 6x + 30

Step 2: 81 = 6x + 33

Step 3: 48 = 6x

Step 4: 8 = x

• The solution is correct since all of the steps followed were mathematically sound.

• The solution is incorrect since Step 1 should be 81 = 3 + 6x + 5.

• The solution is incorrect since Step 2 should be 81 = 9x + 30.

• The solution is incorrect since Step 3 should be 114 = 6x.

Tags

CCSS.HSA.REI.A.1