Big Ideas 1.4 Exercises - Solving Linear Equations

An extraneous solution is:

• a solution that does not satisfy the original equation

• a solution that satisfies all equations

• a solution that is always correct

• a solution that is always positive

Without calculating, how do you know that the equation |4x - 7| = -1 has no solution?

• Because the absolute value of any expression cannot be negative.

• Because 4x - 7 is always positive.

• Because -1 is not a valid solution for x.

• Because the equation has infinite solutions.

In Exercises 3–10, simplify the expression. 3. |−9|

• 9

• -9

• 0

• 1

In Exercises 3–10, simplify the expression. 4. |−15|

• 15

• -15

• 0

• 1

In Exercises 3–10, simplify the expression. 5. |14| − |−14|

• 0

• 28

• -28

• 14

In Exercises 3–10, simplify the expression. 6. |−3| + |3|

• 6

• 0

• 3

• -6

In Exercises 3–10, simplify the expression. 7. −|−5 • (−7)|

• -35

• 35

• -70

• 0

In Exercises 3–10, simplify the expression. 8. |−0.8 • 10|

• 8

• −8

• 0.8

• −0.8

In Exercises 3–10, simplify the expression. 9. |27 ÷ −3|

• 9

• -9

• 3

• -3

In Exercises 3–10, simplify the expression. 10. |−12 ÷ 4|

• 3

• -3

• -12

• 4