Mathematics

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Participation Exercises for Week 2 – July 20, 2021

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Solve the problem.

1) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?

1) _______

A) y = 3x + 3 B) y + 3x = 15 C) y - 3x = 15 D) y + 3x = 3

Find the x- and y-intercepts. Then graph the equation.

2) x = 5

2) _______

A) None; (0, 5)

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B) ( 5, 0); none

C) ( 5, 0); none

D) None; (0, 5)

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Find the slope of the line.

3)

3) _______

A) B) - C) 3 D) - 3

4)

4) _______

A) 0 B) 2 C) -2 D) Undefined

Find the equation in slope-intercept form of the line satisfying the conditions.

5) Slope - ; b = 5 5) _______

A) y = - x + 5 B) y = - x - 5 C) y = x - 5 D) y = x + 5

Find an equation of the line passing through the two points. Write the equation in standard form.

6) (-2, 6) and (-1, 6) 6) _______

A) -x - 2y = 0 B) y = 6 C) -2x - y = 0 D) x = -2

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The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in

the first blank with either solid or dashed. Fill in the second blank with above or below.

7) y ≤ 3x - 7) _______

A) dashed; above B) solid; above C) dashed; below D) solid; below

8) y ≥ - x + 8) _______

A) dashed; above B) solid; below C) dashed; below D) solid; above

Determine whether the relation defines y as a function of x. Give the domain.

9) 9x + 4y > -5 9) _______

A) Function; domain: (-∞, ∞) B) Function; domain:

C) Not a function; domain: (-∞, ∞) D) Not a function; domain:

10) xy = -9 10) ______

A) Function; domain: (-∞, 0) ∪ (0, ∞) B) Not a function; domain: (-∞, ∞)

C) Function; domain: (-∞, ∞) D) Not a function; domain: (-∞, 0) ∪ (0, ∞)

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function

notation f(x).

11) 5x - 6y = 5 11) ______

A) f(x) = 5 - B) f(x) = 5 - 5x C) f(x) = D) f(x) = -5x -

Solve the problem.

12) Suppose all items in an ice cream truck cost $ 0.97 per item. (a) Fill in the table with the correct response for the cost

f(x) of purchasing x items. (b). Write the linear function that gives a rule for finding the cost.

12) ______

A) (a) (b) f(x) = 0.97x + 0.97

B) None of these

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C) (a) (b) f(x) = 0.97

D) (a) (b) f(x) = 0.97x

Decide whether the pair of lines is parallel, perpendicular, or neither.

13) 4x + y = -7 and 5y = 30x - 8 13) ______

A) Parallel B) Perpendicular C) Neither

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.

14) Through (-3, 5); m = -8 14) ______

A) (a) y = -8x - 19 (b) 8x + y = 19

B) (a) y = -8x + 26 (b) 8x + y = 26

C) (a) y = 8x - 17 (b) -8x + y = -17

D) (a) y = -8x - 19 (b) 8x + y = -19

Graph the inequality or compound inequality.

15) y ≥ - 3x - 1 and x - y ≥ -1

15) ______

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A)

B)

C)

D)

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Solve the system by substitution. If the system is inconsistent or has dependent equations, say so.

16) 8y - 8 = -x

2x - 5y = -5 16) ______

A) {(1, 0)} B) {(0, 1)} C) {(1, 1)} D) {(0, 0)}

17) x + y = 4

x - 2y = 21 17) ______

A) {(-6, -8)} B) {(6, 8)} C) {(6, -8)} D) {(-6, 8)}

Solve the system of equations.

18)

18) ______

A) B) C) D)

19)

19) ______

A) {( 4, 2, 1)} B) {( 4, 1, 2)} C) {( -4, 1, 8)} D) {( -4, 8, 1)}

Solve the problem.

20) The perimeter of a triangle is 66 cm. The triangle is isosceles now, but if its base were lengthened by 6 cm and each

leg were shortened by 3 cm, it would be equilateral. Find the length of the base of the original triangle. 20) ______

A) 22 cm B) 16 cm C) 25 cm D) 15 cm

21) Two angles are supplementary, and one is 40° more than three times the other. Find the smaller angle. 21) ______

A) 75° B) 35° C) 105° D) 145°

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Solve the system by substitution or elimination. If a system is inconsistent or has dependent equations, say so.

22) y = - x

-5x + 4y = 7 22) ______

A) B)

C) D) ∅; inconsistent system

23) x - 2y = -7

7x - 3y = 17 23) ______

A) {( 5, 6)} B) {( -5, 7)} C) {( 4, 7)} D) ∅; inconsistent system

Provide an appropriate response.

24) Which one of the following has positive slope and negative y-coordinate for its y-intercept? 24) ______

A)

B)

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C)

D)

Solve the problem.

25) Suppose all items in an ice cream truck cost $ 0.80 per item. (a) Fill in the table with the correct response for the cost

f(x) of purchasing x items. (b). Write the linear function that gives a rule for finding the cost.

25) ______

A) (a) (b) f(x) = 0.80x + 0.80

B) (a) (b) f(x) = 0.80x

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C) (a) (b) f(x) = 0.80

D) None of these