Download x = -4y+10 3x - 4y = 6 - Sonoma Valley High School

Name _________________
Date _________ Per. ____
Algebra 1
st
1 Semester Review
1. Solve the system:
ì x = -4y + 10
í
î 3x - 4y = 6
Solution: (
4.
,
)
2.
State the x- and y-intercepts
of the line:
3.
Write the equation of the line
shown in the graph
2x – 5y = 20
x-intercept: (
,
)
y-intercept: (
,
)
Equation:
____________________________
At the soccer match, Hot Dogs are sold for $3 each and Colas are sold for $2 each. There were 3 times as
many colas sold as hot dogs. If a total of $72 was collected, how many of each item were sold?
Sentence: ______________________________________________________________________________
5.
Evaluate:
a.
For
c = 2 – 4d
, when d = 10, what does c equal?
c = ______________
b.
For y = 6x – 5
, when x = -1, what does y equal?
y = ______________
c.
For 2x + 3y = 12 , when x = 0, what does y equal?
y = ______________
Algebra 1 Fall Final Review
Page 1 of 4
6.
Fill in the table and write the equation rule:
x
-3
-2
-1
0
1
y
-1
1
7.
2
5
x
y
Fill in the table and write the equation
rule:
-2
-1
0
1
2
3
3
6
rule: __________________________
rule: __________________________
8.
Examine this tile pattern and answer the questions below.
Figure 0
Figure 1
Pattern Rule: ___________________
9.
Figure 2
Figure 3
Which figure has 37 squares? _______________________
Solve the system:
ì 4 x + 3y = 7
í
î2x - 9y = 35
solution: (
,
Figure 4
y
10. Graph
3
x 1
2
)
11. Solve the following equations for x.
2x – 4 + 5x = 7x + 8
Algebra 1 Fall Final Review
5x – 3 – (2x – 1) = 2x – 8
Page 2 of 4
x = __________________
x = __________________
12. Simplify.
5( x + 1) + 3( x + 2)
13.
2(x – 4)
-5(2x – 7)
Stephen can solve 11 math problems in 2 minutes. He wants to find out how long it will take to solve 100
problems. Stephen represented it using a diagram, as shown below. Use his drawing to find out how long
it will take to solve 100 problems. Show your thinking.
100
11
2
14.
Solve:
x
3(x + 5) = 2x + 35
Step 1:
Step 2:
Step 3:
Step 4:
3x + 15 = 2x + 35
5x + 15 = 35
5x = 20
x=4
Which is the first incorrect step in the solution shown above? Solve the equation correctly.
15.
Graph the equations y = 3x – 7 and y = –x + 1
on the same set of axes and find the
point of intersection. Then solve it algebraically.
Point of intersection: (
Algebra 1 Fall Final Review
,
)
Page 3 of 4
16. If five bags of chips cost $6.95, how much will eight bags cost? Write a proportion and solve.
17. Solve for x:
6x + 15 = -4x + 45
3(x + 5) – 4(x – 5) = 2x + 14
18. Simplify:
2
2
2
a) (2x + 3x – 8) + (-4x – 2x + 1)
2
b) (8x + 4x – 9) – (-3x – 5x + 1)
19. Graph the system of equations below on the same set of axes and
solve the system using the equal values method.
ìy = x + 3
í
î y = -2x + 6
Point of Intersection: (
,
)
Equal Values Method:
Algebra 1 Fall Final Review
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