Quiz about Illustrative Math Algebra Equations

Question 1

Which equation is equivalent to $$5x+30=45\ ?$$

Accepted Answer

$$5\left(x+6\right)=45$$

Answer

Answer

Answer

$$5\left(x+30\right)=45$$

Question 2

Select ALL equations that have the same solution as $$2x-5=15$$

Accepted Answer

Accepted Answer

$$2x-20=0$$

Accepted Answer

$$4x-10=30$$

Answer

Answer

$$2\left(x-5\right)=15$$

Question 3

Given the equation $$2x+4y=154$$ , solve for x

Accepted Answer

$$x=-2y+77$$

Answer

$$x=2y+77$$

Answer

$$x=-2x+46$$

Answer

$$x=2y+46$$

Question 4

Given the equation $$2x+4y=154$$ , solve for y

Accepted Answer

$$y=-\frac{1}{2}x+38.5$$

Answer

$$y=2x+38.5$$

Answer

$$y=-2x+38.5$$

Answer

$$y=\frac{1}{2}x+38.5$$

Question 5

Select ALL points that are solutions to the equation

$$4x+3y=24$$

Accepted Answer

$$\left(6,\ 0\right)$$

Accepted Answer

$$\left(3,4\right)$$

Accepted Answer

$$\left(0,\ 8\right)$$

Answer

$$\left(0,5\right)$$

Answer

$$\left(2,\ 2\right)$$

Question 6

$$V=\pi r^2h$$ gives the volume, $$V$$ , of a cylinder, where $$r$$ is the radius and $$h$$ is the height.
Which equation allows us to easily find the height?

Accepted Answer

$$h=\frac{V}{\pi r^2}$$

Answer

$$r^2h=\frac{V}{\pi}$$

Answer

$$h=V-\pi r^2$$

Answer

$$\pi h=\frac{V}{r^2}$$

Question 7

John bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

How many ounces of food were left in the bag 12 days after he bought it?

Accepted Answer

36 ounces

Answer

26 ounces

Answer

56 ounces

Answer

it was empty

Question 8

John bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.

How many days did it take for the bag to have only 16 ounces left?

Accepted Answer

24 days

Answer

30 days

Answer

34 days

Answer

56 days

Question 9

What is the slope of the line that contains the points $$\left(5,\ -2\right)$$ and $$\left(-1,\ 7\right)$$ ?

Accepted Answer

$$-\frac{3}{2}$$

Answer

$$-\frac{2}{3}$$

Answer

$$\frac{5}{4}$$

Answer

$$\frac{6}{9}$$

Question 10

What is the y-intercept of the equation $$y=-3x+4$$ ?

Accepted Answer

$$\left(0,\ 4\right)$$

Answer

$$\left(4,\ 0\right)$$

Answer

$$\left(-3,\ 0\right)$$

Answer

$$\left(0,\ -3\right)$$

Question 11

What is slope of the graph of 2y-5x=10 ?

Accepted Answer

5/2

Answer

2/5

Answer

-5

Answer

-5/2

Question 12

y=6x+2

What is the y-intercept of the equation?

Accepted Answer

(0,2)

Answer

(2,0)

Answer

6

Answer

(0,6)

Question 13

10x+5y=30

What is the y-intercept of the equation?

Accepted Answer

(0,6)

Answer

(0,3)

Answer

(3,0)

Answer

(6,0)

Question 14

What are the x- and y-intercepts of the equation 10x+4y=20

Accepted Answer

(0,5) and (2,0)

Answer

(0,2) and (5,0)

Answer

(0,3) and (2,0)

Answer

(0,5) and (0,2)

Question 15

Choose all of the equations that represent the graph pictured above.

Accepted Answer

12=3x+4y

Accepted Answer

y=(-3x/4)+3

Answer

3x-4y=12

Answer

y=(3x/4)-3

Question 16

Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25.Write an equation that describes the relationship between the number of dimes and the number of nickels in Priya's pocket.

Accepted Answer

0.10d+0.05n=1.25

Answer

10d+5n=1.25

Answer

0.10n+0.05d=1.25

Question 17

Clare knows that Priya has a bunch of nickels and dimes in her pocket and that the total amount is $1.25.

If solutions are written as points in the order (dimes, nickels), is the point (13,6) a solution?

Accepted Answer

No, the point (13,6) is not a solution

Answer

Yes, the point (13,6) is a solution

Question 18

Here is a graph of the equation x+3y=6. Select all coordinate pairs that represent a solution to the equation.

Accepted Answer

(0,2)

Accepted Answer

(3,1)

Answer

(0,6)

Answer

(2,6)

Answer

(4,1)

Question 19

Mai says that equations A and B have the same solution. Equation A: -3(x+7)=24 Equation B: x+7= -8

Which statement explains why this is true?

Accepted Answer

Dividing both sides of Equation A by -3 gives x+7= -8

Answer

Adding 3 to both sides of Equation A gives x+7= -8

Answer

Applying the distributive property to Equation A gives x+7= -8

Answer

Subtracting 3 from both sides of Equation A gives x+7= -8

Question 20

Find the slope given the ordered pairs: (2,5) and (-3, 9)

Accepted Answer

-4/5

Answer

-5/4

Answer

5/4

Answer

4/5

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