Name: ____________
Integrated Algebra 1 Advanced
Unit 2 Formative 3 Review
Graph each inequality in the coordinate plane.
1. y 
1
x6
2
2. 𝑥 < 4
y
y
x
x
3. 2 x  y  4
4. 10 ≥ 2𝑥 + 5𝑦
y
y
x
x
Write the linear inequality for the given graphs.
5. _________________________
6. ____________________________
7. You and some friends have $30. You want to order large pizzas (p) that are $9 each and
drinks (d) that cost $1 each. Write and graph an inequality that shows how many pizzas and
drinks can you order.
8. Explain the steps in graphing the following: 𝒚 < −𝟐𝒙 + 𝟑
Write your answers in complete sentences
y
x
9. What is the slope of a line parallel to y = -2x + 7 ?
10. What is the slope of a line perpendicular to y = -2x + 7 ?
11. What is the slope of a line parallel to 4x – 2y = -8 ?
12. What is the slope of a line perpendicular to 4x – 2y = -8 ?
13. What is the slope of a line parallel to x = 5 ?
14. What is the slope of a line perpendicular to x = 5 ?
15. Write an equation in slope intercept form of the line parallel to 2x + 6y = -12 and
passes through the point (-3, 5).
16. Write an equation in slope intercept form of the line perpendicular to 5x – 2y = 10 and
passes through the point (-1, -2).
17. Write an equation in standard form of a line perpendicular to y = 8 through the point
(-4, 8).
Parallel, Perpendicular, or Neither
18.
y = ½x – 7
6x + 3y = 15
_____________________
19.
y = -3x
3x – y = 6
_____________________
20.
x = -9
-7 = 3 + x
_____________________
22.
Circle all of the equations that are parallel to each other.
2
3
𝑦 = 3𝑥 − 4
𝑦 = − 2𝑥
−6𝑥 + 2𝑦 = −12
2𝑥 − 3𝑦 = −15
21.
y=7
2x – 5y = 3
_____________________
2
𝑦 = 3𝑥
2
3
=𝑦
2
−4𝑥 + 6𝑦 = 6
𝑥+𝑦 =3
23. Are any of the lines in #14 perpendicular?
1
24. Write the equation of a line in slope-intercept form perpendicular to 𝑦 = − 4 𝑥 + 3 that
has an x-intercept of 5.
4
25. Write the equation of a line in slope-intercept form parallel to 𝑦 = 5 𝑥 − 2 that has a yintercept of 3.