1.2 and 1.3 Homework Handout Evaluate the following expressions. 1.) −(3) 2.) −(−2)4 3.) −4 2 4.) (−2)4 5.) (5 − 2)3 ÷ 9 − 6 6.) ((3 − 1) ⋅ 2 + (−3))5 7.) −12 − (−2)2 + (4 − 5)4 8.) x 2 − 4xy when x = −2 and y = −3 9.) 6 − x 2 + x when x = −2 Simplify the following expressions. 10.) 5(n 2 + n) − 3(n 2 − 2n) 11.) 8(y − x) − 2(x − y) Solve the following equations. 12.) 6(2x − 1) + 3 = 6(2 − x) − 1 13.) 5x + 2 = 2(2x+1) + x 1
5
1
19
14.) −5(2x + 3) = 2(4 − 3x) − 4x 15.) x − = − x + 2
3
2
4
4
1.2 and 1.3 Homework Handout 5⎞
2⎛6
7 ⎞ 17
⎛7
16.) 2 ⎜ x − ⎟ = −2 17.) − ⎜ x − ⎟ =
⎝5
3⎠
3⎝ 5
10 ⎠ 20
18.) Find three consecutive integers such that if three times the smaller is decreased by the sum of the other two, the difference will be 46. 19.) Nancy has a bag of coins totaling $3.60 in value. If she has two more nickels than quarters, and twice as many quarters as dimes, how many of each coin does she have?