Download Chapter-6-Summative - Windsor C

Rev. 1/13
Name: _________________________________________
Hour: ___________
Algebra 1 Summative Review
Systems of Linear Equations and Inequalities
Write the correct response on the line.
_____ 1. Which point represents the solution of the system of linear equations?
(1 pt.)
y  x2
y  x  4
a. (2, 0)
b. (–3, –1)
c. (1, –1)
d. (–1, –3)
_____ 2. Solve the linear system using the substitution method.
(1 pt.)
2y + 6x =15
y = 2x
 3
a.  3, 
 2
2 
b.  , 3 
3 
 2
c.  3, 
 3
3 
d.  , 3 
2 
_____3. Tell how many solutions are represented in the system shown in the graph.
a. 2
b. 1
c. none
d. infinite
(1 pt.)
_____4. Write an equation in slope-intercept form of the line that passes through the points
(–2, 3) and (0, 8)
(1 pt.)
5
a. y  x  10
2
b. y 
5
x 8
2
c. y 
2
48
x
5
5
d. y 
2
x  10
5
5. Solve the following system using either the elimination, substitution, or graphing method.
Include a description of why you chose that particular method.
(4 pt.)
2x + y = 3
−𝑥 + 𝑦 = −6
(graph is optional)
Solution: _____________________
Description: ____________________________________________________________________
______________________________________________________________________________
6. Solve the following system using a method other than the one in the previous problem.
Include a description of why you chose the particular method.
(4 pt.)
y = 3x + 2
2x – 3y = 8
(graph is optional)
Solution: _____________________
Description: ____________________________________________________________________
______________________________________________________________________________
7. A sporting goods store sells right-handed and left-handed baseball gloves. In one month,
12 gloves were sold for a total revenue of $561. Right-handed gloves cost $45 and
left-handed gloves cost $52. Find the number of each type of glove sold.
(4 pt.)
Solution: _________________________________________
8. Solve the system of inequalities by graphing.
y > x+4
x + y ≤ −2
(6 pt.)
9. Solve the system of inequalities by graphing.
y ≤ −2x + 2
𝟏
− 𝟐x + y < −1
(6 pt.)