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Final project (Honors Algebra)

Total questions: 10

Worksheet time: 37mins

Name
Class
Date
1.

Solve the system of equations using the substitution method

a)


(2, 6)\left(-2,\ 6\right)

b)

(6, 2)\left(6,\ -2\right)

c)

(2, 4)\left(-2,\ 4\right)

d)

(4, 2)\left(4,\ -2\right)

2.

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12. Find the cost of each.

a)

The cost of a pen is $1.19 and the cost of a pencil is $0.39.

b)

The cost of a pencil is $1.19 and the cost of a pen is $0.39.

c)

The cost of a pen is $6.71 and the cost of a pencil is $7.12.

d)

The cost of a pen is $7.12 and the cost of a pencil is $6.71.

3.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
4.

How many solutions does this system have?

a)

One solution

b)

No solutions

c)

Infinitely many solutions

5.
a)
Function
b)
Not a Function
6.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

7.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; it does not pass the vertical line test
8.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
c)

h(8) = 31

d)

h(8) = 77

9.

Which two inequalities make up the given system?

a)

y<12x+1y<\frac{-1}{2}x+1  

b)

y>12x+1y>\frac{-1}{2}x+1  

c)

y4x4y\ge4x-4  

d)

y4x4y\le4x-4  

10.

Identify the graph of the following linear inequality.

y32x5y\ge\frac{3}{2}x-5  

a)
b)
c)
d)