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Solving Equations
Literal Equations
Writing Inequalities
Solving Inequalilties
Absolute Value Sentences
100
2x + 5 = 3x + 6
What is x = -1
100
Solve for y: 4x + y = 10
What is y = -4x + 10
100
Translate into an inequality: The number is greater than 17.
What is n > 17
100
Solve and graph: 10x + 6 ≥ 16
What is x ≥ 1 (closed circle, shaded right)
100
Solve: |2a + 6| = 20
What is 7, -13
200
5 = 3 - 3m - 1
What is m = -1
200
Solve for y: 5x - y = 8
What is y = 5x - 8
200
Translate into an inequality: 28 is less than or equal to a number.
What is 28 ≤ n
200
Solve and graph: 1 - 10n - 2 > -8n - 9
What is n < 4 (open circle, shaded left)
200
Solve: 15 + |x - 2| = 7
What is "no solution"
300
4(7r + 2) + 5r = 173
What is r = 5
300
Solve for y: 10x + 2y = 4
What is y = -5x + 2
300
Translate into an inequality: The number of potatoes cannot exceed 36.
What is p ≤ 36
300
Solve: -4(n + 5) < -(1 - 3n) - 7n
What is "all real numbers"
300
Solve and graph: |x - 8| > 13
What is x > 21 or x < -5 (open on 21, shaded right, open on -5, shaded left)
400
-8(3n + 1) + 4(6n + 8) = -10 - 5n + 9
What is n = -5
400
Solve for y: y - 6 = -2(x - 5)
What is y = -2x + 16
400
Translate into an inequality: The number of jaguars is at least 97.
What is j ≥ 97
400
Solve and graph: 5 < -2x - 1 ≤ 15
What is -8 ≤ x < -3 (closed on -8, open on -3, shaded in between)
400
Solve: -3|2x - 8| + 5 = -25
What is x = 9 and -1
500
6(-10x + 4) = -8(3x + 3) + -6(6x - 8)
What is "all real numbers"
500
Solve for y: 8x + 4y = -12
What is y = (-1/2)x - 3
500
Translate into an inequality: The sum of 9 and the product of 4 and a number has a minimum value of -42.
What is 9 + 4n ≥ -42
500
Solve and graph: -5x + 2 > -23 or 6 - x ≤ -11
What is x < 5 or x ≥ 17 (open on 5, shaded left, closed on 17, shaded right)
500
Solve and graph: -8 + |2k - 2| ≤ 4
What is -5 ≤ k ≤ 7 (closed on -5, closed on 7, shaded in between)