1. SOL’s COVERED 1 st Semester 8.1 a Students will simplify numerical expressions involving positive exponents, using rational numbers, order of operations, and properties of operations with real numbers 8.1 b Students will compare and order decimals, fractions, percents, and numbers written in scientific notation 8.2 Students will describe orally and in writing the relationships between the subsets of the real number system. 8.4 Students will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables 8.5 a Students will determine whether a given number is a perfect square 8.5 b Students will find the two consecutive whole numbers between which a square root lies. 8.14 Students will make connections between any two representations (tables, graphs, words, and rules) of a given relationship. 8.15 a Students will solve multistep linear equations in one variable with the variable on one and two sides of the equation; 8.15 b Students will solve two-step linear inequalities and graph the results on a number line 8.15 c Students will identify properties of operations used to solve an equation 8.16 Students will graph a linear equation in two variables 8.17 Students will identify the domain, range, independent variable, or dependent variable in a given situation. Name: Date:

2. NUMBER SENSE Put the following numbers in ascending order: 4)¾, 75.5%,.7,.07, 7.5 x 10 3 5)1/2, 51%,.05, 5.01 x 10 -2 PROPERTIES Identify the properties used for EACH STEP in order to simplify the following expressions or equations: 6) [ ( 3 / 4 )(25) ( 4 / 3 ) ] + (-25) Step 1 = [ ( 3 / 4 )( 4 / 3 )(25) ] + (-25) _____________________________ Property of Mult. Step 2 = [ 1(25)] + (-25) _____________________________ Property of Mult. Step 3 = [ 25] + (-25) _____________________________ Property of Mult. Step 4 = 0 _____________________________ Property of Add. 7). 8 + 5 + (-8) Step 1 = 8 + (-8) + 5_____________________________ Property of Addition Step 2 = [ 8 + (-8) ] + 5_____________________________ Property of Addition Step 3 = 0 + 5_____________________________ Property of Addition Step 4 = 5 _____________________________ Property of Addition 2 Evaluate: 1. 3 + 8( 1 / 2 ) – (6 ÷ 3 + 4 2 ) 2. -2 + 2(-8) 3(3)-4 3. (12-9) 2 + √49

3. REAL NUMBER SYSTEM 8) Which subset of real numbers contains √12? A. Integers B. Rational #’s C. Irrational #’s D. Natural #’s 9)Which number is rational? A. 925.96 B. √23 C. π D. -√37 10) Which number is a natural, whole, and integer number? A. 14 B. 0 C. -2 D. -13 ALGEBRAIC EXPRESSIONS Evaluate: SQUARE ROOTS Find the square root of the following numbers: Between which two consecutive WHOLE numbers do the following #’s fall between?: 13. = __________14. = __________15. = __________ 16. lies between __________ and __________. 17. lies between __________ and __________. 3 11)(b-10) 2 + √16 when b =2012)5a 2 – 4b +2ab when a = -3 and b =2

4. EQUATIONS Solve: Identify the properties used for EACH STEP in order to simplify the following equation: 27) x(7 + 8) + ( -5 + 5) =60 Step 1 7x + 8x + (-5 + 5)= 60 __________________________ Property Step 2 7x + 8x + 0 =60 __________________________ Property of Addition Step 3 (7x + 8x) + 0= 60 __________________________ Property of Addition Step 4 15x = 60 Step 5 ( 1 / 15 )15x = 60( 1 / 15 ) __________________________ Property of Mult. Step 6 x = 4 18) -2g = 1919) 2n – 4 = 1820) ¼ y – 1 = 8 21) 5(2x -7) = -12522) 7(-2x – 3) = -6323) 16 = -2 + 5x -8 24) 8 – 2x – 4x = -2825) 7x – 10 = -3x - 12026) 6x + 3 = 4x + 15 4

5. INEQUALITIES Solve and Graph: Fill-in-the-Blank: (Word Bank: “x” variable, “y” variable) 34)Range __________35) Domain __________ 36)Independent variable __________37) Dependent variable __________ 38)Output __________39) Input___________ Identify the independent and dependent variable and then write a linear equation 28) - 1 / 2 y > 529) 30) 8x + 9 < 131) 32) -12 < -2x + 1033) 5 SituationIndependent (x) Dependent (y) Equation 40) You buy a certain # of scarves for $15 each, plus a pair of gloves for $12. 41) The taxi company charges a flat fee of $5, plus $0.50 for every mile driven.

6. FUNCTIONS Fill in the missing sections of the chart: Graph the following equations. (Hint make a table first) 45) y = 3x – 246) y = 2x + 1 EquationWordsTableGraph 42)Twice a number decreased by 3 is y 43) 44) xy xy 05 12 2 3-4 xy 6