Free Printable 11-09 Review 3-1

Worksheets

11-09 Review 3-1

Total questions: 38

Worksheet time: 2hrs 58mins

Name

Class

Date

In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses?

10 horses, 18 chickens

16 horses, 12 chickens

12 horses, 16 chickens

18 horses, 10 chickens

What is the solution?

(5, -6, 3)

(2, 3, -1)

(-4, 2, 5)

No Solution

This system has _____ solutions.

infinitely many

This system has _____ solutions.

infinitely many

Which of the following points is a solution to the system of inequalities?

x + 2y ≥ 4

3x − 2y < 4

(0, 0)

(2, 1)

(2, 2)

(-1, 1)

Which system of inequalities is shown?

y > -4/5x - 1

y ≤ 2/3x + 3

y ≥ -4/5x - 1

y ≤ 2/3x + 3

4x + 5y < -5

2x - 3y < -9

4x + 5y < -5

2x - 3y ≥ -9

Which system of inequalities is shown?

x + 5y > -5/2

2x + y ≥ -4

x + 5y > -5/2

2x + y ≤ -4

y ≥ -1/5x - 1/2

y ≤ -2x - 4

y < -1/5x - 1/2

y ≥ -2x - 4

Which system of inequalities is shown?

y > -2 + x

y ≤ 2x + 2

y > 2 + x

y ≤ 2x + 2

y ≥ -2 + x

y ≤ 2x + 2

y ≥ 2 + x

y ≤ 2x + 2

Which point is a solution to the system of inequalities?

(0, 6)

(-3, 4)

(1, 0)

(-4, 3)

10.

Which system of equations is shown?

y = -3|x+1|+4

x = y

y = -3|x+1|+4

x = -y

y = -2|x+1|+4

x = y

y = -2|x+1|+4

x = -y

11.

Which system of equations is shown?

x² - 2x - y - 2 = 0

2x + y = 1

x² - 2x - y - 2 = 0

2x + y = 0

x² - 2x - y - 3 = 0

2x + y = 1

x² - 2x - y - 3 = 0

2x + y = 0

12.

Suppose you want to make a certain kind of tropical punch, using bananas, oranges, and papayas. There are twice as many oranges as bananas. You also know that the 7 pieces of fruit cost $5.25, where bananas cost $.50 each, oranges cost $.75 each, and papayas cost $1.25 each. How many oranges did you buy?

13.

Function

Not a Function

14.

Is this graph a function or not a function?

Function

Not a Function

15.

What are the domain and range?

Domain: (-∞, -1]

Range: (-∞, 1]

Domain: [1, ∞)

Range: (-∞, -1]

Domain: (-∞, 1]

Range: [-1, ∞)

Domain: [-1, ∞)

Range: (-∞, 1]

16.

What are the domain and range?

Domain: x ≤ 8

Range: y ≥ -5

Domain: x ≤ 8

Range: y ≥ 3

Domain: x ≥ 8

Range: y ≥ 3

Domain: x ≥ 8

Range: y ≥ -5

17.

What is the domain?

(-∞, -3)

(-∞, -3]

(-3, +∞)

[-3, +∞)

18.

What is the domain?

(-∞, 0]

(-∞, 0)

[0, ∞)

(0, ∞)

19.

What is the range?

(-∞, 0]

(-∞, 0)

[0, ∞)

(0, ∞)

20.

What is the domain?

x < 2

x < -3

x > 2

x > -3

21.

What is the range?

y < 2

y < -3

y > 2

y > -3

22.

Which could be the resulting function?

g(x)=1/2f(x-3)+4

g(x)=1/2f(x+3)+4

g(x)=2f(x-3)+4

g(x)=2f(x+3)+4

23.

Which could be the resulting function?

g(x)=-0.7f(x)-5

g(x)=-0.6f(x-2)

g(x)=-7f(x)-2

g(x)=-6f(x-5)

24.

The school has an annual talent show. On the first day they sold 4 senior tickets, 2 adult tickets, and 5 child tickets for a total of $55. The school made $67 on the second day from 7 senior tickets, 2 adult tickets, and 5 child tickets. The third day the show earned $46 by selling 2 senior tickets, 4 adult tickets, and 2 child tickets. How much is each ticket?

Adult: $12
Child: $8
Senior: $8

Adult: $6
Child: $4
Senior: $5

Adult: $7
Child: $5
Senior: $4

Adult: $4
Child: $7
Senior: $5

25.

Given the equation

y = 4x + 1, which equation will result in “no solutions” when both equations are graphed?

-4x - y = 1

y = 1/4(x) + 1

4x - y = -3

4x + y = 3

26.

What's the correct answer?

this one

not this one

27.

What system of inequalities is graphed?

x≤-2
y≤x-3

y≤-2
y≤x-3

x≥-2
y≤x-3

y≥-2
y≤x-3

28.

What system of inequalities is graphed?

y≥-2x+3
y≤x-3

y>2x+3
y≥x-3

y>-2x+3
y≥x-3

y<-2x+3
y≤x-3

29.

Which point is a solution?
y≤4
-2x+y≥-10
x+y>-4

(8,-6)

(2,3)

(-6,1)

(2,-8)

30.

Juan has twice as many tomatoes as potatoes.

2t = p

t = 2p

t+2 = p

t = p+2

31.

Jasmine has two less tumblers than pots.

-2t = p

t = -2p

t-2 = p

t = p-2

32.

The number of golf balls is twice the number of tennis balls.

2g = t

g = 2t

g-2 = t

g = t-2

33.

There are twice as many goblins as wizards.

2g = w

g = 2w

g-2 = w

g = w-2

34.

John has 50 coins in a jar. There are twice as many pennies as dimes and two more dimes than nickels.

p + n + d = 50
p = 2d
d = n+2

p + n + d = 50
2p = d
d = n+2

p + n + d = 50
p = 2d
d = n-2

p + n + d = 50
2p = d
d = n-2

35.

What's the best city?

Trash Houston

Fake New York

Savage Dallas

Feo Los Angeles

36.

Savanna has 50 coins in a bucket. There are half as many dimes as pennies. The value of the coins is $2.11.

p + n + d = 50
1p+5n+10d = 2.11
p = 1/2d

p + n + d = 50
1p+5n+10d = 2.11
2p = d

p + n + d = 50
.01p+.05n+.1d = 2.11
d = 1/2p

p + n + d = 50
.01p+.05n+.1d = 2.11
2p = d

37.

What values belong in the purple circles?

49.5, 0.5, 36.5

50, 37, 86

30, 20, 7

26.5, 23.5, 13.5

38.

Which system of equations?

2x + y = 2
y = (x-2)² - 4

2x + y = 2
y = (x-3)² - 4

x + y = 1
y = (x-2)² - 4

x + y = 1
y = (x-3)² - 4

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11-09 Review 3-1

Total questions: 38

Worksheet time: 2hrs 58mins

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