POR Algebra 1 Midterm Review
Name___________________________
Solve.
1. 6𝑥 − 1 = 6 + 4𝑥 − 3
2.
−7(𝑟 − 5) − 5 = 72
3.
|−6𝑥 + 4| = 14
4.
6|𝑛 + 2| − 3 = 33
5.
|2𝑥 + 3| ≥ 7
6.
|2𝑥 − 3| + 5 < −15
7.
−10 ≤ 3𝑥 + 2 < 8
8.
4𝑥 + 1 ≥ 17 𝑜𝑟 5𝑥 − 2 < 8
9.
Solve for r, 𝐶 = 2𝜋𝑟
10. Suppose you are going to Mexico this summer and need to
convert your money into Mexican Pesos. If you have $125, how much
money do you have in Mexico? ($1 = 13.2 pesos)
11.
Find the slope of the line.
12.
Sketch the graph of the line
x + 4y = - 8
13.
Write the equation of the line in slope intercept form that goes through the points (-2, 5)
and (-7, -1)
14.
Write the equation of the line in slope intercept form parallel to y = 7x + 3 and goes
through the point (1, 5).
15.
Write the equation of the line in slope intercept form perpendicular to
goes through the point (2, -1).
2
𝑦 = − 3 𝑥 + 1 and
16.
A student has attempted to graph an equation that contains the point (1, -4) and has a
slope of 1/3.
a) What is the equation of the line that the student
graphed?
b) What is the student’s error on the graph?
17.
18.
The ordered pair (3, 2) is the solution of which system of equations?
1
A
y=– x+3
3
y = –3x + 2
B
y = – 3x + 3
y = 2x
1
1
C
y=– x+3
3
y = 2x –4
D
y = –3x + 2
y = 2x – 4
For problems below, determine the best method to solve the system of equations.
A
substitution
C
elimination using multiplication
B
elimination using addition
y = 2x
y = 2x – 4
y + 2x = 2
y – 2x = 0
y – 3x = 2
7y – 2x = 6
Solve each system of equations for x and y.
19.
y = -3x – 8
-8x – y = 23
20.
-5x – 4y = -15
-x + 4y = -3
21.
2x + 5y = 0
x + 5y = -10
22.
-6x – y = -1
3x + 3y = -12