Exam 1: Introduction to Real Numbers and Algebraic Expressions

State the real number that corresponds to the situation. -This year corn production decreased 8,000 pounds from last year on Steve's farm.

Divide. - $\frac { - 24 } { 4 - 4 }$

Solve the problem. -A machinist has flat metal plate that is 8.546 cm thick. He laminates the metal plate with four more layers that are 1.055 cm, 3.990 cm, 3.931 cm, and 3.474 cm thick. He then grinds off 4.300 cm from the top of the plate, then 1.576 cm more, and finally another 6.277 cm. Find the new thickness of the plate.

Multiply. --3.1 · (-12)

List the terms of the expression. -2 - 2x - 6xy - 6

Evaluate -x for the given value of x. - $x = - \frac { 1 } { 167 }$

State the real number that corresponds to the situation. -Mr. Voss decreased his speed by 18 miles per hour.

Simplify. --19 + (-10)+ (-9)+ (-5)+ 10 + (-2)

Divide. - $- \frac { 9 } { 16 } \div \left( - \frac { 16 } { 9 } \right)$

Solve the problem. -After one round in a card game, your score was -40 points. After the second round, your score was 47 points. How many points did you gain in the second game?

Find an equivalent expression without parentheses. --(3x - 5)

Multiply. -(-1)⁹

Subtract. -76 - (-40)

Subtract. -0.97 - 0.81

Simplify. -3{[6(x - 1)+ 3] - [2(3x - 1)+ 3]}

Write an inequality with the same meaning. - $41 \geq 1$

Rewrite the division as a multiplication. - $\frac { 24 } { \frac { 1 } { a } }$

Add. Do not use a number line except as a check. --2.9 + (-7.9)

Simplify. -3[36 + 4(8 + 6)]

Determine whether the statement is true or false. - $5 \leq 12$