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Tenth Grade (Grade 10) Absolute Value Questions

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Grade 10 Absolute Value
Solve for x.

[math]|8 + 4x| = -12[/math]
  1. no solution
  2. -5
  3. 1
  4. 1 or -5
Grade 10 Absolute Value
Solve for x.

[math]|x - 13| = 21[/math]
  1. {34, -8}
  2. {34,8}
  3. {-34, -8}
  4. no solution
Grade 10 Absolute Value
Solve the absolute value equation.
[math]| 5x + 12 | = - 53[/math]
  1. [math]x= 8.2, -13[/math]
  2. [math]x= -8.2, 13[/math]
  3. [math]x= 41/5, 13[/math]
  4. [math]"No solution"[/math]
Grade 10 Absolute Value
Solve the absolute value equation.
[math]| 4x - 2 | - 6 = 20[/math]
  1. x = 4, x = -4
  2. x = 2, x = -2
  3. x = 6, x = -7
  4. x = -6, x = 7
Grade 10 Absolute Value
Solve. [math]| 2x-2 | = 3x + 7[/math]
  1. [math]x = -9,-1[/math]
  2. [math]x = -1[/math]
  3. [math]x = -9[/math]
  4. [math]"No solution"[/math]
Grade 10 Absolute Value
Grade 10 Absolute Value
Solve. [math]|x+1|<-5[/math]
  1. [math]x<-6 or x>4[/math]
  2. [math]x> -6 and x<4[/math]
  3. All real numbers
  4. No solution
Grade 10 Absolute Value
Solve the equation.

[math]abs(3z-3)=9[/math]
  1. [math]"No Solution"[/math]
  2. [math]{-4,2}[/math]
  3. [math]{4,2}[/math]
  4. [math]{4,-2}[/math]
Grade 10 Absolute Value
Select the solutions of [math]|2x - 3| - 8 = -5[/math].
  1. x = 0, x = - 2
  2. x = 0, x = 2
  3. x = - 2, x = 2
  4. x = 0, x = 3
Grade 10 Absolute Value
Solve. [math]abs(6w+3)=9[/math]
  1. {-2, 1}
  2. {-1, 2}
  3. 2
  4. 1
Grade 10 Absolute Value CCSS: HSF-BF.A.1
Which absolute value function has a graph that contains (-2, -1), (0,0), and (2, -1)?
  1. y = 2 times the absolute value of x.
  2. y = 1/2 times the absolute value of x.
  3. y = -1/2 times the absolute value of x.
  4. y = -2 times the absolute value of x.
Grade 10 Absolute Value
Given: [math]|(x + 5)/3| - 3 > 6[/math]
Find all solutions to x.
  1. [math]x>22 or x<-32[/math]
  2. [math]x>32 or x<-22[/math]
  3. [math]x > 16 or x < -26[/math]
  4. [math]x>26 or x<-16[/math]
Grade 10 Absolute Value
Solve. [math]abs(8-4x)=40[/math]
  1. x = 8; x = 12
  2. x = 8; x = -12
  3. x = -8; x = -12
  4. x = -8; x = 12
Grade 10 Absolute Value
Given: [math]1/11|2x - 4| + 10 <= 11[/math]
Find all solutions for x.
  1. [math]-53.5 <= x <= 57.5[/math]
  2. [math]-57.5 <= x <= 53.5[/math]
  3. [math]-7/2 <= x <= 15/2[/math]
  4. [math]-15/2 <= x <= 7/2[/math]
Grade 10 Absolute Value
Grade 10 Absolute Value
When [math]x<0[/math], [math]|x-7|[/math] is equivalent to which expression?
  1. [math]x-7[/math]
  2. [math]x+7[/math]
  3. [math]-x-7[/math]
  4. [math]-(x-7)[/math]
Grade 10 Absolute Value
Solve. [math] |x - 5| -2 = -2x[/math]
  1. [math]x=7/3[/math]
  2. [math]x=-3[/math]
  3. [math]x=-3,7/3[/math]
  4. [math]x=3,7[/math]
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