Absolute Value Functions and Linear Inequalities

Solve.
|c + 4| < 5

• x < -9 or x > 1
• -9 < x < 1
• x < 9 or x > -1
• -1 < x < 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
6 - 2|m -3| > -4

• -8 < m < 2
• m < -8 or m > 2
• m < -2 or m > 8
• -2 < m < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

A golf ball manufacturer puts 390 golf balls in each box. The box can be off by 6 golf balls. Write an inequality that displays the acceptable amount of golf balls that can be in a box.

• |x - 6| < 390

• |x - 6| ≤ 390

• |x - 390| < 6

• |x - 390| ≤ 6

Tags

CCSS.6.NS.C.7C

Caleb is a machinist at Golden Eagle Chopper Shop. To ensure the reliability of the motorcycle engines produced at the shop, Caleb machines each cylinder to a 4.01mm diameter with a tolerance of 0.002mm. Write an absolute value inequality to determine if a cylinder’s diameter is acceptable.

• |x - 0.002| ≤ 4.01

• |x - 4.01| ≤ 0.002

• |x - 4.01| < 0.002

• |x + 4.01| ≤ 0.002

Tags

CCSS.6.NS.C.7C

The function
 ^{f(t) = -2|t - 15| + 50}
is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?

• 0 ≤ t ≤ 40
• 0 ≤ t ≤ ∞
• 20 ≤ t ≤ 40
• -∞ ≤ t ≤ 50

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

The function f(t) = -2|t - 15| + 50 is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the maximum sales for one week?

• $40,0000

• $20,0000

• $50,000

• $10,0000

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.7

Which function is graphed?

• f(x) = -3|-x + 1| + 4
• f(x) = -|x - 1| + 4
• f(x) = -5|x + 1| + 4
• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF-IF.C.7D

What type of line is used with the following symbols, < and >?

• dashed or dotted

• solid

Tags

CCSS.HSA.REI.D.12

The inequality, y < 2, will make what type of line?

• solid, horizontal

• solid, vertical

• dashed, horizontal

• dashed, vertical

Tags

CCSS.HSA.REI.D.12