1.2 Algebraic Expressions and Models & 1.3 Solving Linear Equations
Order of Operations - PEMDAS
1.) Undo grouping symbols – parentheses, absolute value, braces, brackets
2.) Evaluate any exponents / powers
3.) Do multiplication and division as they appear left to right
4.) Do addition and subtraction as they appear left to right
Evaluate
-8 + 5(1 – (-3))3
(−3)4
Evaluate
−3x 2 − 5x + 7 when x = −2
Simplifying Algebraic Expressions
−34
2x 3 + 3x 2 + 27 when x = −4
5n 2 (n + 1) − 3n 3 − 2n
Solving Equations
5(x − 2) = −4(2x + 7) + x
1
1
1
x+ = x−
3
4
6
2⎛
6⎞ 1
3x +
= (5x − 1)
3⎝
5⎠ 5
4
1⎞
⎛2
x = 4⎜ x + ⎟
⎝3
5
5⎠
1⎞
⎛
6x + 2 − 4x = 3(2x + 1) − 2 ⎜ 2x + ⎟
⎝
2⎠
−5(2x + 3) = 2(4 − 3x) − 4x
1.2 Algebraic Expressions and Models & 1.3 Solving Linear Equations
Word Problem Practice
1.) Find four consecutive even integers which total 92.
2.) Find three consecutive integers such that if the sum of the first two is decreased by the third, the result will
be 68.
3.) Find three consecutive even integers such that twice the smallest plus three times the largest will equal the
middle integer increased by 82.
4.) Mrs. Bunker paid her $7.15 grocery bill with a ten-dollar bill and asked for her change in dimes and
quarters. If she received 21 coins in change, how many quarters did she receive?
5.) 65 students and teachers from Penncrest High School are going to a play. Tickets costing $4 and $3.60 were
purchased at a total price of $244. How many $4 tickets were bought?
6.) A stamp collector has a group of ten cent, fifteen cent and twenty cent stamps that total $4.75 in
value. If he has twice as many twenty cent stamps as ten cent stamps and three fewer fifteen cent
stamps than 10 cent stamps, how many twenty cent stamps does he have?