Quiz about Unit 4B Review

Question 1

What are the three methods to solving a system of equations?

Accepted Answer

Graphing

Accepted Answer

Substitution

Accepted Answer

Elimination

Answer

Use a ruler

Question 2

If a system of equations has no solution, what does the graph look like?

Accepted Answer

Parallel Lines

Answer

Intersecting Lines

Answer

Perpendicular Lines

Answer

Coinciding Lines

Question 3

Solve the system of equations using the graphing method. What does the graph look like?

Accepted Answer

2 lines that intersect at (-3, -3)

Answer

2 lines that intersect at (3, -3)

Answer

2 lines that intersect at (2, 3)

Answer

2 lines that intersect at (3, 2)

Question 4

Solve this system of equations using your method of choice:

$$-x+y=4$$

$$y=-x$$

Accepted Answer

(-2, 2)

Answer

(6, -6)

Answer

No Solution

Answer

(2, -2)

Question 5

What is the result of the correct first step to solve this system of equations by elimination? $$x-3y=-21$$

$$2x+3y=12$$

Accepted Answer

3x = -9

Answer

3x = -33

Answer

x = 9

Answer

-3x = 33

Question 6

Solve the system of equations using the method of your choice.

$$3x-2y=-10$$

$$5x+y=-8$$

Accepted Answer

(-2, 2)

Answer

(2, -2)

Answer

(3, 1)

Answer

(1, 3)

Question 7

When using substitution to solve this system of equations, what is the result of the first step?

$$y=x+2$$

$$5x+y=8$$

Accepted Answer

5x + x + 2 = 8

Answer

5(x + 2) + y = 8

Answer

5x + x = 8

Answer

5x + y(x + 2) = 8

Question 8

If elimination is the method used to solve this system of equations, what is the result of the second step?

Accepted Answer

-16y = 112

Answer

-14y = 128

Answer

-16x = 112

Answer

-14y = 112

Question 9

At a particular restaurant, each mini hotdog has 70 calories and each pizza roll has 50 calories. A combination meal with pizza rolls and mini hotdogs is shown to have 1190 total calories and twice as many pizza rolls as there are mini hotdogs. Determine the number of mini hotdogs in the combination meal.

Accepted Answer

7 mini hotdogs

Answer

98 mini hotdogs

Answer

14 mini hotdogs

Answer

21 mini hotdogs

Question 10

Morgan runs a farm stand that sells apples and blueberries. Yesterday Morgan sold 20 pounds of apples and 50 pounds of blueberries for a total revenue of $160. Today she sold 38 pounds of apples and 10 pounds of blueberries for a total revenue of $134. Determine the price of each pound of blueberries.

Accepted Answer

$2 per pound

Answer

$1 per pound

Answer

$5 per pound

Answer

$3 per pound

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