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Solve for $x$ : $2x - 5 = 11$

Select one option

A) $x = 3$

B) $x = 6$

C) $x = 8$

D) $x = 16$

Simplify: $(x^3)^2$

Select one option

A) $x^5$

B) $x^6$

C) $x^9$

D) $x^1$

If $f(x) = 3x - 2$ , what is $f(4)$ ?

Select one option

A) 6

B) 10

C) 12

D) 14

What is the slope of the line represented by the equation $y = - rac{1}{2}x + 3$ ?

Select one option

A) 3

B) $-2$

C) $- rac{1}{2}$

D) $rac{1}{2}$

Simplify: $rac{y^7}{y^3}$

Select one option

A) $y^{10}$

B) $y^{21}$

C) $y^4$

D) $y^{-4}$

Solve for $x$ : $3(x - 2) + 4x = 16$ . Show all work.

Simplify the expression: $(2x^2y^3)(3x^4y)$ . Show all work.

Solve the following system of equations using substitution or elimination. Show all work. $x + y = 7$ $x - y = 3$

A linear function's graph passes through the points $(0, -4)$ and $(2, 0)$ . What is the y-intercept of this line?

Select one option

A) $(0, 2)$

B) $(0, 0)$

C) $(0, -4)$

D) $(2, 0)$

10.

A taxi service charges a flat fee of $3.00 plus$ 1.50 per mile. If a customer paid $12.00 for a ride, how many miles was the ride?

Select one option

A) 4 miles

B) 6 miles

C) 7 miles

D) 8 miles

11.

The cost $C(x)$ of producing $x$ units of a product is given by the function $C(x) = 50 + 2.5x$ . What is the cost of producing 20 units?

Select one option

A) $50

B) $70

C) $100

D) $125

12.

For the parabola $y = (x-3)^2 + 2$ , what are the coordinates of the vertex?

Select one option

A) $(-3, 2)$

B) $(3, -2)$

C) $(3, 2)$

D) $(-3, -2)$

Graph for Question 13

13.

Which ordered pair is a solution to the system of equations shown in the graph below?

Select one option

A) $(0,1)$

B) $(1,2)$

C) $(2,1)$

D) $(3,0)$

14.

What is the axis of symmetry for the quadratic function $y = x^2 - 6x + 5$ ?

Select one option

A) $x = -3$

B) $x = 3$

C) $y = -3$

D) $y = 3$

15.

Which of the following are the x-intercepts of the quadratic function $y = x^2 - x - 6$ ?

Select one option

A) $(2,0)$ and $(3,0)$

B) $(-2,0)$ and $(3,0)$

C) $(2,0)$ and $(-3,0)$

D) $(-2,0)$ and $(-3,0)$

16.

A coffee shop sells two types of coffee beans: Arabica for $8 per pound and Robusta for$ 6 per pound. They want to create a 20-pound blend that sells for $7.20 per pound. How many pounds of each type of bean should they use? Show all work, including setting up the system of equations.

17.

Solve the quadratic equation $2x^2 + 5x - 3 = 0$ using either factoring or the quadratic formula. Show all work.

Coordinate Plane for Question 18

18.

On the coordinate plane below, graph the function $y = -\frac{2}{3}x + 4$ . Clearly label the x-intercept and the y-intercept.

19.

Given the function $f(x) = \sqrt{x-3}$ . a) Determine the domain of $f(x)$ . b) Determine the range of $f(x)$ . c) Find the inverse function, $f^{-1}(x)$ . Show all work.

20.

A rectangular garden has a length that is 5 feet more than its width. If the area of the garden is 84 square feet, find the dimensions (length and width) of the garden. Show all work, including setting up the quadratic equation.