Absolute Value Equations Practice

The absolute value of a number is defined as...

• a positive number.

• a negative number becoming positive.

• the distance of that number from zero.

• the opposite sign of that number.

Tags

CCSS.6.NS.C.7C

Solve for v:

|v + 8| − 5 = 2

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

CCSS.6.EE.B.7

Solve for r:

−2|−2r − 4| = -12

• {3,1}

• {-3,-1}

• {-3}

• No Solution

Solve for x:

2|x + 1| - 5 = 5

• {4, 6}

• {-4, 6}

• {-6, 4}

• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

CCSS.6.EE.B.7

Solve for x:

|2x + 9| = 15

• {3}

• {-6, 3}

• {-12, 3}

• {-12,6}

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.

• Absolute value does not always have to be positive.

• Absolute value is like a clock it has only positive numbers.

• Absolute value is talking about distance, distance is always measured with positive numbers.

Tags

CCSS.6.NS.C.7C

Solve for x:

• {7}

• {-7, 7}

• {0, 7}

• No Solution

True or False:

x = 4 is a solution to |x + 5| = -9.

• True

• False

Solve for x:

|4x−3| = -17

• {-3.5, 5}

• {-5, 0}

• {-10, 10}

• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

Solve for a:

2|a - 5| = 22

• {16}

• {-6, 16}

• {6, 16}

• No Solution