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Algebra 1 Midterm Exam Practice
Solve each equation.
1. 3x – 9 = 21
2. 4 – 2x = 8
3. 10x – 15 = 5x + 25
1
(6 x  12)  3  2 x  6
4.
2
5. a. Find the slope of the line shown below
b. Find the y-intercept of the line shown
c. Write the equation of the line shown
1
-4
-2
2
4
-1
6. Choose the pair of lines that are perpendicular
a. y = -2x + 3 and y = 2x + 3
2
3
b. y  x  1 and y  x  6
3
2
2
2
c. y  x and y  x  4
7
7
1
d. y  x  1 and y = -5x – 6
5
7. Write the equation of the line that has a slope of 1/3 and passes through the point
(6, -4).
8. Write the equation of the line through the points (-1, -4) and (5, 14).
2
9. Draw a graph of y = x  1
3
4
3
2
1
-6
-4
-2
2
-1
-2
-3
-4
4
6
10. Draw a graph of 3x + 5y = 15
4
3
2
1
-8
-6
-4
-2
2
4
6
8
-1
-2
-3
-4
11. Solve 15 + x > 12
12. Use a number line to draw a sketch of the solution to 2x + 3 < 11
13. Use a number line to draw a sketch of the solution to -3x ≤ 12
14. Show the solutions to y < 1/2x + 1
4
3
2
1
-6
-4
-2
2
4
6
-1
-2
-3
-4
15. Show the solution to the system of inequalities
y  2x  2
y  x3
4
3
2
1
-6
-4
-2
2
-1
-2
-3
-4
4
6
16. Solve the system
x+y=4
x – y = 10
17. Solve the system
2x + y = 10
3x + 2y = 18