Quiz about End of Semester Algebra Review

Question 1

What is the value of the expression if a=99 and b=-6

$$2b-\sqrt[3]{a+26}+b^2$$

Accepted Answer

19

Answer

-5

Answer

25

Answer

-12

Question 2

The cubed root of the sum of a number and six

Accepted Answer

$$\sqrt[3]{x+6}$$

Answer

$$\sqrt[3]{x}+6$$

Answer

$$\left(x+6\right)^3$$

Answer

$$x^3+6$$

Question 3

Evaluate the expression when x=5 and y=2

$$-2\sqrt[]{x^2-9}+4xy$$

Accepted Answer

32

Answer

20

Answer

-8

Answer

10

Question 4

Which Equations have Infinite many Solutions? Mark all that apply

Accepted Answer

2x + 3 = 2x + 3

Accepted Answer

$$-\left(6x-14\right)=2\left(-3x+7\right)$$

Answer

$$3\left(2x+4\right)=-4x+12$$

Answer

$$3\left(4x+4\right)=6\left(2x-3\right)$$

Question 5

What is the solution to $$\frac{2x+\frac{1}{2}}{4}=\frac{\left(5x-4\right)}{8}$$ ?

Accepted Answer

5

Answer

10

Answer

7

Answer

3

Question 6

What graph is correct for the following inequality $$-7x-14>3\left(2+x\right)$$ ?

Accepted Answer

Question 7

$$-\frac{1}{3}\left(-6x+42\right)>2\left(2x-10\right)$$

Accepted Answer

x < 3

Answer

x < -1

Answer

x = 3

Answer

x > 3

Question 8

$$Given\ V=lwh,\ solve\ for\ l.$$

Accepted Answer

$$l=\frac{V}{wh}$$

Answer

$$l=\frac{Vw}{h}$$

Answer

$$l=\frac{Vh}{w}$$

Answer

$$l=\frac{wh}{V}$$

Question 9

In the inequality $$x\ge13$$ ; x is

Accepted Answer

Greater than or equal to 13

Answer

Less than 13

Answer

Less than or equal to 13

Answer

Greater than 13

Question 10

What is the equation for a line the contains the point (-3,5) and has a undefined slope?

Accepted Answer

x = -3

Answer

y = 5

Answer

x + 3 = 0

Answer

y = -3

Question 11

Which is the graph for $$-2x+3y=15$$ ?

Accepted Answer

Question 12

What is the slope of the line that passes through (6,3) and (-3,-3)?

Accepted Answer

2/3

Answer

3/2

Answer

1/2

Answer

-2/3

Question 13

Line P is represented by the equations 5x-3y=-9. Line k is parallel to line p and has an x-intercept of 1 ? Which equation represents line p

Accepted Answer

$$\left(y-0\right)=\frac{5}{3}\left(x-1\right)$$

Answer

$$\left(y-1\right)=\frac{5}{3}\left(x-0\right)$$

Answer

$$\left(y-0\right)=\frac{3}{5}\left(x-1\right)$$

Answer

$$\left(y-1\right)=\frac{3}{5}\left(x-0\right)$$

Question 14

Given the graph of a f(x) what is the value of f(-2)

Accepted Answer

$$f(-2)=7$$

Answer

$$f(-2)=3$$

Answer

$$f(-2)=-3$$

Answer

$$f(-2)=-1$$

Question 15

What is the equation for the graphed line?

Accepted Answer

$$5x+2y=6$$

Answer

$$5x-2y=6$$

Answer

$$5y+2x=6$$

Answer

$$2y-5x=6$$

Question 16

What is $$f\left(3\right)$$ for the function $$f$$ ?

$$f\left(x\right)=\frac{12\left(x-24\right)}{4}$$

Accepted Answer

-63

Answer

-12

Answer

0

Answer

-48

Question 17

A linear equation is represented by the equation shown in the point-slope form.

$$y+2=4\left(x+3\right)$$

Which is the equivalent linear equation in slope-intercept form to the line above?

Accepted Answer

y = 4x + 10

Answer

y = 2x + 6

Answer

y = 4x - 2

Answer

y = 4x + 8

Question 18

Let $$f\left(x\right)=x$$ and $$g\left(x\right)=2x+4$$ . Compare $$g\left(x\right)\ to\ f\left(x\right)$$ and describe the changes.

Accepted Answer

$$g\left(x\right)$$ moved up and is steeper

Answer

$$g\left(x\right)$$ moved down and is steeper

Answer

$$g\left(x\right)$$ moved up and is flatter

Answer

$$g\left(x\right)$$ moved down and is flatter

Question 19

On Monday, Joe bought 10 cups of coffee and five doughnuts for his office for $16.50. The doughnuts were more popular than the coffee. On Tuesday, he bought 5 cups of coffee and 10 doughnuts for $14.25. Which equations could be used to determine the cost of the coffee?

Accepted Answer

10c + 5d = 16.50
5c + 10d = 14.25

Answer

10c + 5d = 14.25
5c + 10d = 16.50

Answer

c + d = 10
5c + 10d = 16.50

Answer

c + d = 5
5c + 10d = 16.50

Question 20

Which linear inequality is shown on the graph?

Accepted Answer

$$4x+5y<20$$

Answer

$$5x+4y<20$$

Answer

$$4x+5y>20$$

Answer

$$5x+4y>20$$

Question 21

Bob is throwing a party on Saturday night and needs to buy food for his friends. Bob collected 48 dollars from his friends to spend on food. He is going to order pizza and wings; a pizza (p) costs $12, and an order of wings (w) costs $8. Which inequality could be used to determine the amount of pizza (p) and wings (w) Bob can order?

Accepted Answer

$$12p+8w\le48$$

Answer

$$12p+8w<48$$

Answer

$$12p+8w\ge48$$

Answer

$$12p+8w>48$$

Question 22

A system of equations is shown

$$12x+8y=48$$

$$-8x+4y=-32$$

What is the value of x for the solution to this system of equations?

Accepted Answer

x = 4

Answer

x = 2

Answer

x = 6

Answer

x = 0

Question 23

The football team needs to raise at least $600 to travel to their preseason game. They plan on selling Hoodies and T-shirts. The coach has enough time to sell a combined total of 40 pieces before the game.

They will make 25 dollar profit per Hoodie

They will make 12 dollars profit per T-shirt

Let x represent Hoodies and y represent T-shirts.

Create a system of inequalities to represent this situation

Accepted Answer

$$x+y\le40$$ $$25x+12y\ge600$$

Answer

$$x+y\le40$$ $$\ 12x+25y\ge600$$

Answer

$$x+y\ge40$$ $$25x+12y\le600$$

Answer

$$x+y<40$$ $$25x+12y>600$$

Question 24

Which equations represent no solution? Select all correct answers

Accepted Answer

$$12\left(x+\frac{1}{6}\right)=3\left(4x-5\right)$$

Accepted Answer

$$2x+2\left(5x-5\right)=6\left(2x-3\right)$$

Answer

$$2x+7=3\left(x+1\right)$$

Answer

$$6\left(4x-2\right)=3\left(8x-4\right)$$

End of Semester Algebra Review

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