Solving For Y
9. What equation represents 4x – 3y = 15 when solved for y? (A.12E)
y = 4/3x - 5
4. Find the solution set for this inequality below. (A.5B)
-3x – 4 > 8x + 7
x < -1
6. The length and width of a rectangle are represented by 2x + 3 and x – 1 respectively. What expression represents the perimeter of the rectangle? (A.10A)
6x + 4
Solve for x:
2x + 8 = 12
x = 2
13. Solve for x. ______________________
1/3x + 6 = 9
x = 9
10. Solve the following equation for y: (A.12E)
3x + 2y = 24
y = -3/2x + 12
12. Solve the following inequality:
-2x + 4 > -4x + 8
x > 2
7. Lloyd is working a problem on the board in his math class. He needs to completely simplify the expression below. (A.10A)
(2x – 3) + (2x2 – 3x) – (3x2 – 5)
-x2 - x - 1
15. What is the value of x in the equation below?
3x – 10x + 5 = 5x + 17
x = -1
2. What is the value of x in the equation below? (A.5A)
(9x – 6) = 4x + 10
x = 7
11. Solve the following equation for y.
3x – 2 = 4y + 5
y = 3/4x - 7/4
5. What inequality describes all the solutions to 3(1 – 4x) ≤ –9x + 5? (A.5B)
x ≥ -2/3
8. Which expression is equivalent to
2.2m2 – 3.5(4m – 1.4) + 3.6(8m2 – 4.5m)? (A.10D)
31m2 - 30.2m + 4.9
What is the value of x in the equation below?
2/3(9x - 6) = 4x + 10
x = 7
1. What is the value of x in the equation below? (A.5A)
3x – 10x + 5 = 5x + 17
x = -1
Solve for y:
3(2x-y) = 9
y = 2x - 3
19. Solve the following inequality:
-3x - 4 > 8x + 7
x < -1
Simplify:
(4x2 + 6x + 7) + (2x2 - 9x + 1)
6x2 -3x + 8
17. What value of x makes the equation 3(x – 6) = 8x – 3(3x + 7) true?
x = -3/4
3. An equation is shown below. What is the solution for x? (A.5A)
3x – 4 + 2(x – 4) = 6(x – 3)
x = 6
Solve for y:
5y + 8 = 2y - 3x +5
y = -x - 1
18. The other students were asked to do an error analysis on Amanda’s work. What did the other students say? Did Amanda make a mistake, and if so, what did she do wrong?
3x – 2(x – 1) ≤ 2x – 10
3x – 2x + 2 ≤ 2x – 10
-1x ≤ -12
x ≤ 12
D. Yes, she did not reverse the inequality sign when the last step was to divide by a negative number.
Simplify:
(7x2 - 5x + 3)-(7x - 4x2 + 9)
11x2 - 11x - 6
Solve for x:
3x + 5x + 4 – x + 7 = 88
14. Solve for x:
3(x – 5) = 5x – (3 – x)
x = -4