EOC Practice

Answer explanation

Choose the answer that correctly expands and simplifies the given function, which is y=3(x+2)^2+7. The correct equivalent function is y=3x^2+12x+19.

Which table shows y as a function of x?

• F

• G

• H

• J

Answer explanation

Table H shows y as a function of x because each x-value corresponds to a unique y-value, indicating a functional relationship.

Tags

CCSS.8.F.A.1

What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?

Answer explanation

The line parallel to y=1.2x+3.8 has the same slope. Using point-slope form with (5,0), y=1.2x-6 is the equation in slope-intercept form.

Answer explanation

The correct value of x is 1.2 because it satisfies the equation 5x^2-36x+36=0 after substitution.

Tags

CCSS.HSA-REI.B.4B

• F

• G

• H

• J

Answer explanation

Graph G best represents the function y=10(0.85)^x as it shows exponential decay with a base of 0.85.

Tags

CCSS.HSF-IF.C.7E

Answer explanation

Choose the expression that simplifies to 21d(10d-3), which is the correct answer.

Tags

CCSS.7.EE.A.1

Answer explanation

To find the value of x, substitute y from the second equation into the first equation. Solve for x to get x = 6.5. Therefore, the correct answer is x = 6.5.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The graph of a quadratic function is shown on the grid.

Which function is best represented by the graph?

Answer explanation

The correct function is represented by the graph of a quadratic function with the equation f(x)=x^2-6x, as it matches the shape and direction of the graph shown.

Tags

CCSS.HSF-IF.C.7A

Answer explanation

The correct choice is (12x-5)(2x-1) because it results in 24x^2-22x+5 when multiplied out using the distributive property.

• A

• B

• C

• D

Answer explanation

Graph A represents the equation y=-x^2+6x-1 because it opens downwards and has a vertex at (3,8).

Tags

CCSS.HSF-IF.C.7A