Name: ____________________________
Date: ____________
Algebra 1 Quarterly Assessment Marking Period 3 – Review
You must be able to:
-tell whether lines are parallel, perpendicular, or neither
-solve a system of equations
-tell how many solutions there are to a system of equations
-graph a system of equations
-graph inequalities
-multiply powers with the same base
-divide powers with the same base
-raise a power to a power
-find exponential growth / decay (no compound interest)
-add / subtract polynomials
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. Show
your work or explain how you know.
1.
7
y= x–1
8
32x – 28y = –36
2.
7
y= x–9
2
–14x – 4y = –20
3.
y=
5
x–1
8
15x + 24y = 24
4. Two linear functions have been evaluated for the given integer x-values. The results are shown in the
table below. Based on the table, which of the following could be the coordinates of the point where the
graphs of the equations intersect?
a.
b.
c.
d.
x
Function 1
Function 2
-6
-4
-2
0
2
6
-1
0
1
2
3
4
-11
-7
-3
1
5
9
(3/2, 7/3)
(2/3, 7/3)
(3/7, -2/3)
(-3/7, -2/3
What is the solution of the system?
5.
y = –x + 2
y = 3x – 1
a.
c.
y
y
4
4
2
2
(0.75, 1.25)
–4
–2
O
2
4
–4
x
–2
O
4
x
O(–0.75, –0.25)
2
4
x
–2
–2 (–0.25, –1.75)
–4
–4
y
y
4
b.
4
d.
2
(–0.75, 1.25)
–4
–2
2
O
2
2
4
x
–4
–2
–2
–2
–4
–4
6.
y=x+5
y = –5x – 1
a.
c.
y
–4
y
4
4
2
2
–2
2
4
–4
x
–2
–2
d.
4
x
y
4
(–1,
4 4)
2
2
–2
x
–4
(0.67, –4.35)
y
–4
4
–2
(–1.5, –2.5)
–4
b.
2
2
4 (4, –1)
x
–4
–2
2
–2
–2
–4
–4
What is the solution of the system? Show all work. Circle your final answer.
7.
8.
9.
5x + 4y = –2
x – 4y = 14
10.
3x – 4y = –24
x + y = –1
11.
x + 2y = –6
3x + 8y = –20
12. Consider the system given below.
y = ½x + 3
y = ¼x -1
Which of the following is true about the solution set of the system?
b.
c.
d.
a.
There is no solution.
The solution is a point on the y-axis.
The solution is the region in the coordinate plane above y = ½x +3
The solution is a point in the coordinate plane.
How many solutions does the system have? Show all work.
13.
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution
14.
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution
15.
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution
16.
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution
What is the simplified form of each expression?
17.
18.
19.
20.
21. The function f(t) = 6.8 models the average distance, f t  , in kilometers that Marius
rides his bike over time, t, in hours.
The function g(t) = 5.6 models the average distance, g t  , in kilometers that
Christina walks over time, t, in hours.
Part A
What are the domains of the two functions?
Part B
Graph the two functions on the coordinate plane below.
Part C Is there a time where Marius’s and Christina’s distances are the same? Explain.
Graph the inequality.
22.
a.
c.
y
–4
–2
y
4
4
2
2
O
2
4
–4
x
–2
O
–2
–2
–4
–4
y
–2
x
2
4
x
2
4
x
4
d.
2
–4
4
y
4
b.
2
2
O
2
4
–4
x
–2
O
–2
–2
–4
–4
23.
a.
c.
y
–4
–2
y
4
4
2
2
O
2
4
x
–4
–2
O
–2
–2
–4
–4
b.
d.
y
–4
–2
y
4
4
2
2
O
2
4
–4
x
–2
O
–2
–2
–4
–4
2
4
x
2
4
x
2
4
x
What is the graph of the system?
24.
a.
c.
y
–4
4
4
2
2
O
–2
2
4
–4
x
O
–2
–2
–2
–4
–4
b.
d.
y
–4
y
y
4
4
2
2
O
–2
2
4
x
–4
O
–2
–2
–2
–4
–4
What system of inequalities is represented by the graph?
25.
y
10
8
6
4
2
O
–10 –8 –6 –4 –2
–2
2
4
6
8 10 x
–4
–6
–8
–10
a.
c.
b.
d.
26.
y
10
8
6
4
2
O
–10 –8 –6 –4 –2
–2
2
4
6
8 10 x
–4
–6
–8
–10
a.
c.
b.
d.
27. Suppose the population of a town is 4,400 and is growing 2% each year. Predict the population after 7
years.
a.
b.
c.
d.
about 31416 people
about 61,600 people
about 5,054 people
about 563,200 people
28.
Suppose that the population of deer in a state is 19,900 and is growing 3% each year. Predict the
population after 10 years.
a.
b.
c.
d.
about 274,338 deer
about 26,744 deer
about 597,000 deer
about 1,175,075,100 deer
What is the sum or difference? Show all work.
29. 6x7 + 8x7
30. (8u3 + 2u2 + 7) + (3u3 – 7u + 8)
31. (–7x – 5x4 + 5) – (–7x4 – 5 – 9x)