Free Printable Chapter 1 Review: Linear Functions

1.

Solve the system.

a)

(5, -6, 3)

b)

(2, 3, -1)

c)

(-4, 2, 5)

d)

No Solution

2.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

3.

The solution of a system of linear equations is...

a)

the y-intercept (b)

b)

the intersection of the two equations on a graph

c)

the second equations' answers

d)

the slope (m)

4.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

5.

Solve the system.

a)

(3, -2, 4)

b)

(2, -3, 1)

c)

(-3, 2, -1)

d)

Infinitely many solutions

6.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

a)

a + c = 21
6a + 4c = 104

b)

a + c = 104
6a + 4c = 21

c)

a + c = 21
6c + 4a = 104

d)

a + c = 104
6c + 4a = 21

7.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

8.

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174
4d + 2c = 50

b)

d + c = 50
4d + 2c = 174

c)

d + c = 50
2d + 4c = 174

d)

d + c = 174
2d + 4c = 50

9.

Graph each system of linear inequalities and describe the solutions.
y > x + 1
y < x - 4

a)

Between the graphs

b)

above the graph y > x + 1

c)

below the graph y < x - 4

d)

No Solution

10.

Match: the overlap is on the left!

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 4

d)

y > 3x and y < -2x + 4

11.

Which is the best method for solving this system?
y = 3x - 11
4x + 8y = 6

a)

Elimination

b)

Graphing

c)

Substitution

d)

Factoring

12.

Which of the following best describes this graph?

a)

Consistent and Dependent

b)

Consistent and Independent

c)

Inconsistent and Independent

d)

Inconsistent and Dependent

13.

Which variable is best to eliminate"
3x - 6y = 15
-3x + 8y = 19

a)

x

b)

y

14.

Which inequality is graphed on the given coordinate plane?

a)

y > x + 1

b)

y < x + 1

c)

y ≥ -x + 1

d)

y ≤ -x + 1

15.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

16.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

17.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

18.

J. P. is thinking of two numbers. The sum of the numbers is 163, and their difference is 33. Write two equations that would be used to solve the system.

a)

x+y=33

x+y=163

b)

x+y=163

x-y=33

c)

x-y=33

x-y=163

d)

x+y=33

x-y=163

19.

The school’s photographer took pictures of couples at this year’s prom. She charged $3.25 for wallet-size pictures and $10.50 for portrait-size pictures. Crystal and Dan bought a total of 10 pictures for $61.50. Write two equations that would be used to solve the system.

a)

10.50w+3.25p=10

w+p=61.50

b)

3.25w+10.50p=10

w+p=61.50

c)

10.50w+3.25p=61.50

w+p=10

d)

3.25w+10.50p=61.50

w+p=10

20.

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

a)

5q + 2z = 1.32
1z = 0.75

b)

5q + 2z = 1.32
3q + 1z = 0.75

c)

q + z = 1.32
q + z = 0.75

d)

5q + 2z = 0.75
3q + 1z = 1.32

21.

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

a)

t: # of tacos

m: # of glasses of milk

b)

t: Cost of each taco

m: Cost of each glass of milk

c)

t: total cost

m: # of food items

d)

t: Cost of each glass of milk

m: Cost of each taco

22.

What is the 7th term in the series? 15, 35, 55...

a)

155

b)

135

c)

132

d)

75

23.

Write the recursive formula for 4, 8, 12....

a)

a_n=a_n-1-7

b)

a_n=a_n-1-4

c)

a_n=a_n-1+3

d)

a_n=a_n-1+4

24.

Given the recursive formula, find the explicit form
a_n = a_n-1 + 5
a₁ = -16

a)

a_n = 5 + (n-1)(-16)

b)

a_n = -11 + (n-1)(5)

c)

a_n = 16 + (n-1)(5)

d)

a_n = -16 + (n-1)(5)

25.

Write a recursive rule for the sequence a_n = 17 + (n-1)(-16)

a)

a₁ = 17
a_n = a_n-1 + 16

b)

a₁ = 17
a_n = a_n-1 - 17

c)

a₁ = 17
a_n = a_n-1 - 15

d)

a₁ = 17
a_n = a_n-1 - 16

26.

Given the sequence:
a₁ = 25
a_n=a_n-1-4
Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

27.

Given the sequence:
a₁ = -19
a_n=a_n-1+ 9
Write the explicit equation that models the sequence.

a)

a_n = 9n + 28

b)

a_n = -19n + 25

c)

a_n= 9n - 28

d)

a_n = 9n - 19

28.

Given the sequence 4, 11, 18, 25...... what is a₃ ?

a)

4

b)

11

c)

18

d)

25

29.

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

a)

$a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot3$

b)

$a_1=4$ , $a_n=a_{\left(n-1\right)}+8$

c)

$a_1=4$ , $a_n=a_{\left(n-1\right)}-8$

d)

$a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot9$

30.

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

a)

-16, -21, -26, -31

b)

5, -11, -27, -43

c)

-16, -80, -500, -200

d)

-16, -11, -6, -1

31.

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1- 1

a)

14

b)

13

c)

17

d)

16

32.

What is the next term in the sequence $\frac{1}{2},\ \frac{2}{5},\ \frac{1}{3},\ \frac{2}{7},\ \frac{1}{4}\ ...$

a)

2/9

b)

1/5

c)

1/9

d)

2/5

e)

2/11

33.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

49

c)

90

d)

47

34.

Determine the sum of the series written in Sigma Notation.

a)

-590

b)

-290

c)

-293

d)

-295

35.

Determine the sum of the series written in Sigma Notation.

a)

1091

b)

270

c)

540

d)

1098

36.

Write 1 + 2 + 3 + ... + 10

using sigma notation

a)

$\sum_{d=1}^9d$

b)

$\sum_{d=1}^{10}d+1$

c)

$\sum_{d=1}^{10}d$

37.

Write 1 + 4 + 9 + ... + 49

using sigma notation

a)

$\sum_{k=1}^7k^2$

b)

$\sum_{k=1}^8k^2$

c)

$\sum_{k=1}^{49}k^2$

38.

$Evaluate:\ \ \sum_{i=1}^3\frac{i+2}{i}$

a)

3

b)

6

c)

9

39.

How many terms are there in the series $\sum_{k=3}^{13}3k+1$

a)

13

b)

11

c)

10

40.

$\sum_{k=1}^6\left(3-k\right)$ = ...

a)

1 + 0 + -1 + -2 + -3

b)

2 + 1 + 0 + -1 + -2

c)

3 + 2 + 1 + 0 + -1

d)

1 + 0 + -1 + -2 + -3 + -4

e)

2 + 1 + 0 + -1 + -2 + -3

41.

$Which\ of\ the\ following\ is\ equivalent\ to\sum_{n=1}^5\left(3n+2\right)$

a)

$\sum_{n=0}^4\left(3n+2\right)$

b)

$\sum_{n=0}^4\left(3n-1\right)$

c)

$\sum_{n=0}^4\left(3n+5\right)$

d)

$\sum_{n=0}^4\left(3n-4\right)$

42.

Find S₂₆ of the sequence {3, -1, -5, -9...}

a)

-346

b)

-1423

c)

-97

d)

-1222

Chapter 1 Review: Linear Functions

Total questions: 42

Worksheet time: 1hrs 28mins

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