Algebra A Semester 2 Final Exam Review 2013-2014
Name ______________________________________________
Period ________
The Algebra A final exam is a comprehensive assessment of the essential learning
targets from this year – the “must know” stuff to be successful in Algebra B and
beyond. It is a multiple-choice test. To prepare, you focus your work on the learning
targets listed below, and use this checklist to determine which concepts you should
practice the most.
Learning Target
Know
Well
Need
Practice
Help!
I can solve equations.
I can find slope from a graph, two points, or a
table.
I can find the equation of a line from a graph, two
points, or a table.
I can use multiple forms of a linear equation
(standard, point-slope, and slope-intercept).
I can write an equation to model a situation.
I can determine whether a relation is a function
given a table or its graph.
I can evaluate a function and state its domain and
range.
Solve each equation. State your answers in exact form.
1.
4x – 2 + 7x = 20
2.
3(x – 4) = 9
3.
2x –
1
2
+ 5x =
4
4
4.
2x – 4 = 2(6 – 7x)
Algebra A Semester 2 Final Exam Review 2013-2014
5.
5(x + 1) + 2 = 2x + 11
6.
4x – (x + 6) = 3x – 4
7.
2x – 4 = 2(6 – 7x)
8.
1 + 2(x + 1) = 3 + 4(x + 5)
Draw a slope triangle for each line (when possible) and give the slope. Remember to
designate if slope is positive or negative.
9.
10.
SLOPE =
11.
SLOPE =
SLOPE =
Determine the slope of the line that passes through each pair of points.
12. (3, 8) and (1, 5)
14. (2, −1) and (5, 4)
13. (2, 8) and (1, 7)
Write an equation to represent each of
the table of values
16.
x
y
-9
-8
-6
-5
-3
-2
0
1
3
4
6
7
x
y
9
10
17.
-4
28
15. (−2, 7) and (−2, −2)
-2
20
0
12
2
4
4
-4
6
-12
Algebra A Semester 2 Final Exam Review 2013-2014
Write each equation in slope-intercept form and draw the graph.
18.
3x + 2y = 8
19.
x – 2y = 6
20.
-4x + 3y + 9 = 0
Write the equation of the line described in point-slope form, slope-intercept form, and
standard form.
Standard Form
21. (4, 1) (9, 6)
22. (0, -4) (-2, -10)
23. (-2, 3) (2, 5)
Point-Slope Form
Slope-Intercept
Algebra A Semester 2 Final Exam Review 2013-2014
Graph by finding the intercepts
24. 3x +2y= 8
25. -5x+6y = -30
Identify the domain and range of each relation. Use a mapping diagram to determine whether
the relation is a function. Explain how you determined if the relation is a function.
#26 {(2,4), (8,11), (9,1), (4,2)}
#27
{(6, 5), (5, 6), (2, 2), (2, 6)}
Use the vertical line test to determine whether the relation is a function. Explain how the
vertical line test works.
#28
Algebra A Semester 2 Final Exam Review 2013-2014
Find the range of each function for the given domain. Show your work.
#29 𝑓(𝑥) = −4𝑥 + 3
{-1, 0, 1, 2, 3}
#30
𝑓(𝑥) = 𝑥 3 + 1
{-2, -1, 0, 1, 2}
31. A new shoe shop sold 40 shoes in the first day, and every day after that it sold 20 more
shoes. Write an equation in point-slope form modeling the number of shoes the shop sold.
y–
=
(x –
)
32. A line goes through the points (-1, 9) and (1, 1). Write the equation of this line in pointslope form using one of these points.
y–
=
(x –
)
33. The weight of a baby dog when you first buy it is 4 kilograms. Every month, the dog
grows 0.2 kilograms. Write an equation in point-slope form modeling the weight of the
dog.
y–
=
(x –
)
34. Your piggy bank has $20 in the first day, then you put $3 in it every day. Write an
equation in point-slope form modeling the amount of money in the piggy bank, then use
your equation to determine how much there is after 5 days.
dollars
Algebra A Semester 2 Final Exam Review 2013-2014
35. The first day, you have recited 200 words, and you decide to recite 30 more words every
day. Write an equation in point-slope form modeling the number of the words you have
recited, then use your equation to determine how many words you have recited after 8
days.
words
36. In a supermarket, apples cost $0.50 each, and grapefruits cost $2 each. If you want to
spend exactly $15 at the supermarket, write an equation in standard form modeling this
situation. Let a represent the number of apples you buy, and g represent the number of
grapefruits you buy.
a+
g=
37. Each notebook in a store costs $7, and each rubber costs $2. If you want to spend exactly
$27, write an equation in standard form modeling this situation. Let n represent the
number of notebooks you buy, and r represent the number of rubbers you buy.
n+
r=
38. In a supermarket, a bottle of water costs $1.50 and a bottle of orange juice costs $3. If
you want to spend exactly $30 at the supermarket and you need to buy 14 bottles of
water, how many bottles of orange juice can you buy?
Write an equation in standard form modeling this situation then see how many bottles of orange
juice you can buy. Let w represent the number of bottles of water you buy and o represent the
number of bottles of orange juice you buy.
bottles of orange juice