ISTEP+ Grade 10 Mathematics (IAS) Quiz Linear Equations, Inequalities, and Functions - (8.AF.1) Solve Linear Equations, (8.AF.2) Linear Examples, (8.AF.3) Function As Rule, (8.AF.4) Functional Relationship, (8.AF.5) Interpret Equation, (8.AF.6) Function Model, (8.AF.7) Compare Functions, (8.AF.8) Linear System, (AI.F.1) y = f(x), (AI.F.2) Analyze And Sketch Graphs, (AI.F.3) Identify Domain And Range, (AI.F.4) Function Notation, (AI.L.2) Represent Real-world Problems, (AI.L.4) Graphs, Equations, And Tables, (AI.L.7) Solve Linear Inequalities, (AI.L.8) Compound Linear Inequalities, (AI.L.11) Solve For A Variable Student Name:

_______________________

Date:

Teacher Name: Ed Jones

Score:

1) What is the value of x, when 10(x + 2) = 5(x + 8)? A) x=1 B) x=2 C) x=4 D)

x=

5 6

2) Solve: 3x - 2x + 4 = 5x - 4x - 8 A) 3 B) 6 C) -3 D) no solution

3) Solve for x.

3(-2x - 1) = 2(x + 5) A) B) C) D)

- 13

8 -3

4 13 8 3 4

_________ _________

4) Which graph represents a function?

A)

B)

C)

D)

5)

Which graph does NOT represent a function? A) B) C) D)

6)

Which graph is an example of a function? A) B) C) D)

7) Which set of points is a function? A) {(0,3),(2,4),(0,6)} B) {(1,2),(2,2),(3,2)} C) {(1,4),(2,5),(1,6)} D) {(2,3),(-2,4),(2,6)}

8)

The graph shows the cost per day for renting a car. Which statement is true? A) The rental cost is $150 per day. B) The slope of the graph is zero. C) The graph has a positive rate of change. D) The graph has a negative rate of change.

9)

Daniel biked to the park. On the way, he stopped for a soda, then continued to the park. After playing a game of catch, Daniel biked home. Between which two points did Daniel more than likely stop for a soda? A) between points B and C B) between points C and D C) between points D and E D) between points E and F

10) Identify the linear function graph. A)

B)

C)

D)

11) Greg sells cars. He makes a base salary of $25,000, plus $1500 per car he sells. The function that models this situation is S = 1500x + 25000. After working at the car dealership for 2 years, he gets a raise. He now makes $1700 per car he sells. What is the new function that models this situation? A) S = 1700x + 1500 B) S = 1500x + 1700 C) S = 1700x + 25000 D) S = 25000x + 1700

12)

Which situation matches the graph shown? A) Jimmy has a summer job, he picks blueberries. He makes $5 a day plus $2 for every pound picked. B) Jimmy has a summer job, he picks blueberries. He makes $2 a day plus $5 for every 10 pounds picked. C) Jimmy has a summer job, he picks blueberries. He makes $2 a day minus $5 for every 10 pounds picked. D) Jimmy has a summer job, he picks blueberries. He makes $5 a day plus $2 for every 10 pounds picked.

13) Which function has the largest slope? A) y = 4x + 5 B) y = 3x + 25 8x + 2

C)

y=

D)

A function showing a rock collection growing by five rocks each day.

4

14)

Find the solution to the system of equations graphed here. A) (-1, -3) B) (1, -3) C) (1, 3) D) (3, 1)

15)

Identify the solution for the system of equations graphed here. A) (1, 1) B) (-1, 1) C) (1, -1) D) (-1, -1)

16)

According to the graph, what is the value for the RANGE when the DOMAIN is 0? A) -2 B) -1 C) 0 D) 1

17) Which graph has a slope of –3 and passes through the point (–2, –5)? A)

B)

C)

D)

18)

What is the domain of the graph? A) D: {2 ≤ y ≤ 5} B) D: {2 ≤ x ≤ 5} C) D: {0 ≤ y ≤ 5} D) D: {0 ≤ x ≤ 5}

19)

{(3,2), (-6,2), (7,3), (8,4)} What is the range of this function? A) {2, 3, 4} B) {7, 3, 8, 4} C) {3, -6, 7, 8} D) {3, 2, -6, 2}

20) A country's population, in millions, is given by the exponential model P = 78.2e0.047t, where t represents years after 2000. What population does the model predict for the country in 2012? (Round answer to the nearest tenth.) A) 86.4 million B) 116.7 million C) 137.5 million D) 167.8 million

21) The cost of tuition at Johnson Community College is $160 per credit hour. Each student also has to pay $50 in fees. Model the cost, C, for x credit hours taken. A) C(x) = 50x B) C(x) = 160x C) C(x) = 110x D) C(x) = 160x + 50

22) The cost, in dollars, of a one-day car rental is given by C(x) = 31 + 0.18x, where x is the number of miles driven. In this function, A) $0.18 is the cost per day to rent the car and $31 is the cost per mile. B) $31 is the cost per day to rent the car and $0.18 is the cost per mile. C) $18 is the cost per day to rent the car and $0.31 is the cost per mile. D) $31 is the cost per day to rent the car and $18 is the extra cost for unlimited miles.

23) Which graph represents the equation y = A)

1 2

x+3?

B)

C)

D)

24) Which graph models the equation -2x + y = 4?

A)

B)

C)

D)

25) Sharon is making 100 liters of punch for a party. The punch contains ginger ale (g) and fruit juice (f). The cost of the ginger ale is $1 per liter and the fruit juice is $1.50 per liter. If Sharon spent a total of $130, how many liters of each did she put in the punch? Which solution is reasonable? A) 30 liters of ginger ale and 45 liters of fruit juice B) 40 liters of ginger ale and 60 liters of fruit juice C) 40 liters of ginger ale and 30 liters of fruit juice D) 50 liters of ginger ale and 70 liters of fruit juice

26) Which graph satisfies the compound inequality?

x > -4 and x < 3 A)

B) C) D)

27) Which graph represents the compound inequality?

5x - 5>10 or -3x + 1>13 A) B) C) D)

28) Solve the inequality.

3x + 7 > 4x + 2 A) B) C) D)

x>5 x<5 x>9 x<9

29) Solve the equation for y: -8x + 4y = 20 A) y = 2x - 5 B) y = 2x + 5 C)

y=

D)

y=

30) Given d =

1 2 1 2

1 2

x+5 x + 20

at2, solve for a.

t2

A)

a=

B)

2d a= 2 t

C)

a=d-

D)

a=

2d

1 2 t 2

1 2 t -d 2