i-Ready Diagnostic Test Diagnostic Algebra and Algebraic Thinking 4

Question 1

Which graph best represents the equation y = −x + 4?

Accepted Answer

A line with negative slope crossing y-axis at 4

Answer

The equation has slope −1 (negative) and y-intercept 4, so the line slopes downward crossing at (0,4).

Question 2

A number is tripled and then decreased by 8. The result is 19. Which equation models this?

Accepted Answer

3n − 8 = 19

Answer

Tripling gives 3n, then subtracting 8 gives 3n − 8 = 19.

Question 3

What value of x makes both 2x > 6 and x + 1 < 6 true simultaneously?

Accepted Answer

x = 4

Answer

2x > 6 means x > 3, and x + 1 < 6 means x < 5; x = 4 satisfies both.

Question 4

Which expression represents 'seven less than twice a number p'?

Accepted Answer

2p − 7

Answer

'Twice a number' is 2p and 'seven less than' means subtract 7, giving 2p − 7.

Question 5

A linear function has the values shown: x=0→y=3, x=1→y=5, x=2→y=7. What is the equation?

Accepted Answer

y = 2x + 3

Answer

The y-intercept is 3 (when x=0) and the slope is 2 (y increases by 2 each time x increases by 1).

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