6Th Grade Math Practice Final

Name ______Period ______Date ______

6 th grade Math Practice Final

Directions: Only write your final answer on this paper – highlight it; ALL WORK MUST BE SHOWN ON YOUR NOTEBOOK PAPER ------Multiply & Divide Fractions

6.NS.A. Apply and extend previous understandings of multiplication and division to divide fractions by fractions. ______

1) 2) 3) 4) 5) 5 ½ × ½ = 5 ½ ÷ ½ = ⅓ ÷ ⅔ = ⅘ × ⅕ = 9 ÷ ⅝ = 2 3/4 11 ½ 4/25 14 2/5

------Fraction & Decimal Operations

6.NS.B Fluently Compute multi-digit numbers; including those involving decimals and fractions ______Do Write ALL answers in simplest and proper form. 6) 7) 8) 9) 10) 3 ½ - ¾ = 1 ⅔ + ⅔ = 4 - ⅜ = ⅞ + ⅞ = 1.2 (.02)= 2 3/4 2 1/3 3 5/8 1 3/4 0.024

11) 12) 13) 14) 15) 1.22 ÷ .02 = 3.4 + .45= 5 – 2.3 = ⅙ ÷ ⅙ = 3.5 ÷ 7= 61 3.85 2.7 1 0.5 Integers

6.NS.C. Apply and extend previous understandings of numbers to the system of rational numbers. ______

16) 17) 18) 19) 20) -24 ÷ (-4) = -15 – (-5) = 3(-8) = 14 + (-6) = -6(2) + 5 = 8 -10 -24 8 -7

21) 22) 23) 24) Luis has $87 Which number The temperature on Saturday Order the left on his has the least was −4 degrees Fahrenheit (°F). following from checking absolute value? The temperature on Sunday was least to account. If he -312, 32, 21, 9 degrees warmer than the greatest: writes a check -12, -3 temperature on Saturday. What 16, -1, 0, for $95, what -3 was the temperature, in degrees -19.5, -7, -3 will Luis’s Fahrenheit, on Sunday? -19.5, -7, balance be? 0 5 F -3, -1, 0, -8 16 25) Sasha is trying to get to the bus station from her dance studio. Sasha's dance studio is located at the point (3, -4). The bus station is located 4 units to the right and 3 units down from her dance studio. What are the coordinates of the bus station? (7, -7) ______

Ratios & Unit Rate

6.RP.A Understand ratio concepts and use ratio reasoning to solve problems.

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26) 27) 28) 29) 30) Are they Use equivalent Write two For every 2   equivalent: ratios to find equivalent male birds in a What is the the unknown Ratios birdcage there ratio of happy value: are 5 females. Face to apples: What is the No ratio of female 2:3 birds to all 63 birds? 18/22 ; 27/33 5:7 answer may vary 31) 32) 33) 34) 35) A local store A builder could The ratio of A box of candy At a school sells oranges at get 6 sheets of boys to girls at had 4 cherry fundraiser for a price of 8 for sheetrock for the park was 9 pieces for every 9 boxes $4.00. What is $9. If he bought to 6. If there every 9 lemon of chocolate the cost per 12 sheets, how were 45 boys, pieces. If the sold you earn 5 orange? much money how many girls box had 45 points. If you would he have were there? lemon pieces, were to sell 72 $0.50 spent? how many boxes, how 30 cherry pieces many points $18 would there would you be? have earned? 20 40

Expressions

6.EE.A Apply and extend previous understandings of arithmetic to algebraic expressions. ______

36) 37) 38) 10 (1 + 22) 2 – 10= Write an expression showing… 12 15 The product of k and -9. -9k

39) 40) 41) 42) 43) Write an Simplify the Simplify the Evaluate: Write an expression expression: expression: 3z + 2y – 2z expression showing… 5x + 3y + 6x +2y If y=0 and z= showing… The difference 11x + 5y 5(-6 + 4n) 1 Z squared of 10 and 5, -30 + 20n then multiply 1 Z2 by 3. 3(10-5) 44) 45) Evaluate: Simplify the expression: xy – 5 5 + 6 s + 9 – 4 s If t x = 5, y = 2 14 + 2s 5 ------Equations 6.EE.B Reason about and solve one-variable equations and inequalities. ______Solve for the unknown variable.

46) -12 47) -7 48) -13 49) -108 50) 1 v − −  n  −x p − − 