i-Ready Diagnostic Test Diagnostic Algebra and Algebraic Thinking 5

Question 1

Which pair of equations forms a system with the solution (2, 5)?

Accepted Answer

y = 2x + 1 and y = x + 3

Answer

Checking (2,5): y=2(2)+1=5 ✓ and y=2+3=5 ✓, confirming the solution.

Question 2

Jenna earns $12 per hour plus a $25 bonus. She wants to earn at least $100. Which inequality models the minimum hours h she must work?

Accepted Answer

12h + 25 ≥ 100

Answer

Total earnings = 12h + 25, and this must be at least (≥) 100.

Question 3

What is the y-intercept of the line 4x + 2y = 16?

Accepted Answer

8

Answer

Setting x = 0: 2y = 16, so y = 8; the y-intercept is 8.

Question 4

Which property justifies the step: 3(x + 4) = 3x + 12?

Accepted Answer

Distributive Property

Answer

Multiplying each term inside the parentheses by 3 applies the Distributive Property.

Question 5

A recipe uses a 2:5 ratio of sugar to flour. If 10 cups of flour are used, how many cups of sugar are needed?

Accepted Answer

4

Answer

Setting up a proportion: 2/5 = x/10 gives x = 4 cups of sugar.

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