MSA 9 - Chapter 3

A tree is planted and is expected to grow according to the model below, where t is the number of years since the tree was planted and H is the height of the tree, in feet. How old will the tree be when it reaches 65 feet?

H = 3t + 5

0≤H≤100

• 200

• 23

• 20

• 17

A tree is planted and is expected to grow according to the model below, where t is the number of years since the tree was planted and H is the height of the tree, in feet.

H = 3t + 5

0≤H≤100

According to the model, which of the following statements is true?

• The tree was 3 feet tall when planted.

• The tree is expected to increase in height at a rate of 3 feet per year.

• The tree is expected to increase in height at a rate of 1 foot every 3 years.

• The tree is expected to reach a maximum height of 3 feet.

2y - 2x = 8

y + 6x = 11

If (x,y) is the solution to the system, what is the value of 7y?

• 5

• 35

• 75

• 25

Angela is playing a video game. In this game, players can score points only by collecting coins and stars. Each coin is worth c points, and each star is worth s points.

The first time she played, Angela scored 700 points. She collected 20 coins and 10 stars.

The second time she played, Angela scored 850 points. She collected 25 coins and 12 stars.

Which system of equations can be used to correctly determine the values of c and s ?

• 10c + 20s = 700

  12c + 25s = 850

• 20c + 10s = 700

  25c + 12s = 850

• 20c + 700s = 10

  25c + 850s = 12

• 700c + 20s = 10

  850c + 25s = 12

y = 2x - 3

3y = 5x

In the solution to the system of equations above, what is the value of y ?

• -15

• -9

• 9

• 15

Line s is drawn in the xy-plane and has an equation 3y - 6x = 9. Line t is parallel to line s. What is the slope of line t ?

• 2

• -2

• 1/2

• -1/2

When line a is drawn in the xy-plane, it passes through quadrants II and III, but not through quadrants I and IV. Which of the following could describe line a ?

• The slope is 1 and the x-intercept is 0.

• The slope is 0 and the y-intercept is 5.

• The slope is -1 and the y-intercept is 0.

• The slope is undefined and the x-intercept is -5.

In the solution to the system of equations below, what is the value of x ?

x + 4y = 12

2(x - 4y) = -24

• -6

• -4

• 0

• 12

If c + d = 16, and d = 6, what is c - d?

• 0

• 2

• 4

• 6

In the equation below, a, b, and c are constants.

(a + 2)x = bx + c

For which of the following values of a, b, and c does the equation have exactly one solution?

• a = 0, b = 2, c = 12

• a = 2, b = 4, c = 8

• a = 3, b = 5, c = 0

• a = 4, b = 4, c = 4