Chapter 1 Review Evaluating Expressions Properties of Real Numbers Solving Equations Solving Inequalities

Evaluate Expressions Follow the order of operations. Be careful of exponents, brackets and absolute values. Evaluate if h = -8, x = 4, y = -2, and z = 3.5 1) z – x + y ² 2) x + 6 [ 8(y + z) – x] 3) -|h + 12| 4) |4x + 3| - 12

Real Numbers (R) Rational (Q) Irrational(I) Integers (Z) Whole (W) Natural (N)

Solve Equations Algebra Equations -Eliminate Parentheses -Combine like terms Absolute Value Equations -Isolate the absolute value, if a negative distance then no solution is the answer. -Write two equations One to the positive distance Other to the negative distance -Solve each equation -Check solutions

Solve the following equations 1. ⅓ y = x + 3(4x – 2) = ¾n + 1 = – 5y = y + 2

5. 3 = |2x + 7| = -3|2n + 5| = |c -2| |h – 5| = 7

Solve for a variable 3. 5x – 2y = z. a) Solve for x.b) Solve for y 4. d = g + gpt a) Solve for tb) Solve for g

Solve Inequalities Multiply/Divide by an negative number then change the inequality! Singular inequality Elimination Parentheses Combine like terms Graph answer on number line Compound inequality Solve each inequality Graph each on one number line Shade and- overlappingor- each arrow

Solve Inequalities Absolute Value Inequalities  Isolate the absolute Value  Determine if “and” / “or” statement  Write two inequalities -One with given inequality and distance -Other with opposite inequality and distance  Solve each inequality  Graph each inequality on one number line  Shade and- overlapor- each arrow

Solve and graph on a number line. 1) a + 2 > 3.52) 25 – 3x > 2 – 3x 3) 5 ≤ 2w + 194) n > (n – 4)/5

Examples. Solve and graph on a number line. 1)10 ≤ 3y – 2 < 192) -4 < 3x – 1 < 14 3) x + 3 2

Solve and graph the solution set on a number line. 1) |4k| < 20 2) |3x + 4|≥ 10 3) |7X| + 4 8

Write an inequality. Then solve. 1. The product of 6 and a number is less than The sum of a number and -2 is more than Four less than double a number is at most eight.

Write and inequality for each problem. Then solve. 1) Sophia’s goal is to score at least 200 point this basketball season. If she has already scored 122 points, how many points does Sophia have to score on average for the last 6 games to reach her goal?

2) Allen has at most $15.00 to spend today. He buys a bag of potato chips and a can of soda for $1.59. If gasoline at this store costs $2.89 per gallon, how many gallons of gasoline, to the nearest tenth of a gallon, can Allen buy for his car?