Free Printable Unit 2 Study Guide

1.

A maple tree was planted at 50 feet tall and grows 2 feet every year. A pine tree was planted at 25 feet and grows 4 feet every year. An arborist plots their progress on a graph with time on the horizontal axis and height on the vertical axis. Which statement about their graphs is true?

A. The pine tree graph has a steeper slope than the maple tree.

B. The pine tree graph always lies above the maple tree.

C. The maple tree graph has a steeper slope than the pine tree.

D. The maple tree graph always lies above the pine tree.

a)

A

b)

B

c)

C

d)

D

2.

Which equation is equivalent to $v=u+at$ ?

A. $t=\frac{v+u}{a}$ C. $t=v-\frac{u}{a}$

B. $t=\frac{v}{a}+u$ D. $t=\frac{v-u}{a}$

a)

A

b)

B

c)

C

d)

D

3.

Which graph represents the solution of
$y>-3x-3$ and $y\le4x+4$ ?

a)

A

b)

B

c)

C

d)

D

4.

What is the solution to the inequality?

-12x - 8 < -4x + 24

A. x $\le$ -4 C. x > -4
B. x $\ge$ -4 D. x < -4

a)

A

b)

B

c)

C

d)

D

5.

Air traffic control uses a function, T, to analyze take-off patterns. T(n) represents the rate of flights leaving from airstrip 4 where n is the number of observed planes in a specified time interval. What would be the most appropriate domain for the function?

A. {...-3,-2,-1,0,1...} C. {0,1,2,3,...}

B. $\left\{0,\frac{1}{4},1,1\frac{1}{4},2,2\ \frac{1}{4}\right\}$ D. {-2,-1,0,1,2,3}

a)

A

b)

B

c)

C

d)

D

6.

Which function has the same y-intercept as the graph below?

A. $y=\frac{2-6x}{4}$ C. $18+2y=6x$
B. $y+2=6x$ D. $6y+x=12$

a)

A

b)

B

c)

C

d)

D

7.

The third term in an arithmetic sequence is 43 and the fifth term is 51. If the first term is a₁, which is an equation for the n^th term of this sequence?

A. a_n=4n+31

B. a_n=4n-31

C. a_n=31n-4

D. a_n=31n+4

a)

A

b)

B

c)

C

d)

D

8.

Which function represents the sequence?

A. f(n)=n+6

B. f(n)=6n-1

C. f(n)=n+5

D. f(n) =2n +4

a)

A

b)

B

c)

C

d)

D

9.

Look at the steps used when solving

2(x+2)=8 for x.

2(x+2)=8 Original

2x+4=8 Step 1

2x=4 Step 2

x=2 Step 3

Which step is the result of the subtraction property of equality?

A. Original equation

B. Step 1

C. Step 2

D. Step 3

a)

A

b)

B

c)

C

d)

D

10.

Two lines are graphed on this coordinate plane. Which point appears to be a solution of the equations of both lines?

A. (1,-3) B. (2,1) C. (-2,-1) D. (-1,-2)

a)

A

b)

B

c)

C

d)

D

11.

Look at the system of equations below.

x + y = 4

3x + 2y = 24

Which of the following shows a way that one of the equations could be rewritten in order to solve the system?

A. -x - y = -4

3x +2y = 24

B. 2x - 2y = 8

3x + 2y = 24

C. -3x - 3y = -12

3x + 2y = 24

D. -2x - 2y = 12

3x + 2y = 24

a)

A

b)

B

c)

C

d)

D

12.

Consider the pattern.

Which function represents the sequence that represents the pattern?

A. a_n=a_n-1+ 4

B. a_n=a_n-1- 4

C. a_n=4a_n-1- 4

D. a_n=4a_n-1+ 4

a)

A

b)

B

c)

C

d)

D

13.

Which statement is true regarding f(x)=3x+2 and the function with the table?

A. The rate of change of f(x) is greater than the rate of change of g(x).

B. The rate of change of g(x) is greater than the rate of change of f(x).

C. The rates of change of f(x) and g(x) are equal.

D. The rates of change cannot be compared because f(x) is linear and g(x) is non-linear.

a)

A

b)

B

c)

C

d)

D

14.

Based on the tables, at what point do the lines

y = x + 2 and y = -2x + 2 intersect?

A. (-1,1) B. (2,-2) C. (2,0) D. (0,2)

a)

A

b)

B

c)

C

d)

D

15.

Which graph represents a system of linear equations that has more than one solution?

a)

A

b)

B

c)

C

d)

D

16.

Which two representations are functions?

A. I

B. II

C. III

D. IV

a)

A

b)

B

c)

C

d)

D

17.

The cost of a bag of chips in a vending machine is $0.50 The cost of a bottle of water in the same machine is $1.25. Julia has $25.00 to spend on chips and bottles of water for her team and she must buy 8 bottles of water. If c represents the number of bags of chips, which inequality represents the maximum number of bags she can buy?

A. 0.50c+1.25(8) $\ge$ 25 C. 0.50(8)+1.25c $\ge$ 25

B. 0.50c+1.25(8) $\le$ 25 D. 0.50(8)+1.25c $\le$ 25

a)

A

b)

B

c)

C

d)

D

18.

Ms. Rodriguez showed her students how to solve this system of equations.

y=2x-1

y=4x+1

She found that x = -1 and y = -3. Which of the following statements is true?

A. The graphs of the lines intersect at the point (-1, -3).

B. Substituting y = -1 and x = -3 makes both equations true.

C. (-1,-3) is one of many solutions to the system.

D. Equation 1 intersects the y-axis at -1 and equation 2 intersects the y-axis at -3.

a)

A

b)

B

c)

C

d)

D

19.

Each day Toni records the height of a plant for her science lab. Her data are shown in the table below.

a. The plant continues to grow at a constant daily rate. Write an equation to represent h(n), the height of the plant on the n^th day.

b. Find the height of the plant on day 50.

a)

a. h(n) = 2.5n + 0.5

b)

b. h(50) = 125.5 cm

20.

Solve the following equation for y. Show each step that you take to isolate y and label each step with the property that justifies it.

$x=\frac{2y-z}{4}$

a)

$y=\frac{4x+z}{2}$ Final answer

b)

Step 1: Multiplication

c)

Step 2: Addition

d)

Step 3: Subtraction

21.

Solve the following system of linear inequalities:

3x + 2y > -2

x + 2y < 2

a. Is (-2,2) a solution to this system? Explain why or why not.

b. Is (0,0) a solution to this system? Explain why or why not.

a)

a. The point (-2,2) is not a solution because it lies directly on the dashed line: The inequality 3x+2y>-2 does not allow for equality and therefore, the point cannot be on the line.

b)

b. Yes, the point (0,0) is a solution because this point falls into the double shaded area.

Unit 2 Study Guide

Total questions: 21

Worksheet time: 11mins

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