Name:__________________
Algebra, Period___________
Date:___________________
Algebra 1 Fall Final Review Packet 2
Directions: Box in your answers in the blanks and show any work that is necessary.
1. Find the equation that represents the relationship in the following table:
2. Simplify the following expression:
-4(2x – 6) + 5x – 8
3. Solve the following equation for x:
9x + 5 = -2x – 17
4. Solve the following equation for a:
5a – 6 = 3a + 10
5. Simplify:
6. Solve for b:
-3(2x – 4) + 4x + 6 – x
2𝑎−𝑏
𝑐
=8
7. Evaluate if x = -2 and y = -4:
-2xy – x2
X
Y
0
-4
5
-3
10
-2
15
-1
8. Evaluate if x = 3 and y = -2:
−2𝑥𝑦+𝑦 2
𝑥2
3x – 4y = -12
9. Solve the following equation in slope-intercept form:
10. What is the x-intercept and y-intercept of the following equation?
11. Order the following lines from flattest to steepest:
#1: 2x – 4y = 8
#2: 6x – 3y = 12
4x + 2y = -8
#3: -5y = x + 7
#4 y = -5x + 2
12. If a horizontal line and vertical line intersect at (3, -5), what is the equation for the horizontal line?
Identify the property illustrated.
13. (-5)(8)(2) = (-5)(2)(8)
14. 6 • (7 • 2) = (6 • 7 ) • 2
15. y • (-1) = (-1) • y
Simplify:
1
16. (7 – 5.5)2
3
17.
3
5
[27 – (2 + 5)]2
18. What is the equation for a line in point-slope form that passes through the points (-3, 6) and (-5, 8)?
19. What is the equation for a line in standard form with a slope of -2 and a y-intercept of 8?
20. What is the equation for a line in slope-intercept form that has a slope of
1
2
and passes through the point
(-2, 5)?
21. What would the domain and range be for the following graph.
22. Given the equation y = 6x – 4 and the domain {-2, 0, 2, 4}, find the range.
23. Write the following equation in slope-intercept form and give the slope.
3x – 6y = -9
slope-intercept form:___________________
slope: ___________________
24. If f(x) = -10, find x when the function is f(x) = -3x + 4
25. Find f(-2) + g(7) when f(x) = 5x – 3 and g(x) = –x + 12.
1
26. Find f(2) if f(x) = –7x + 5.
Determine whether each relation is a function. Write Yes or No
Tell why or why not
x
y
x
y
1
–3
0
2
6
–2
0
–2
9
–1
3
1
10
0
3
–1
1
3
5
3
x
y
x
y
2
12
–4
–4
1
5
–1
–4
0
0
0
–4
–1
–3
2
–4
–4
0
3
–4