a 8 b 3 a 2 b Convert to a decimal: Convert to a decimal: Convert to a fraction in simplest form: Estimate to the nearest tenth:

Transcription

1 1 2 Convert to a decimal: Convert to a decimal: 8 11 CCSS 8.NS.A.1! CCSS 8.NS.A.1! 3 4 Convert to a fraction in simplest form: Estimate to the nearest tenth: CCSS 8.NS.A.1! CCSS 8.NS.A.2! 5 6 Estimate to the nearest tenth: 258 Simplify with positive exponents only: a 8 b 3 a 2 b 2 CCSS 8.NS.A.2! CCSS 8.EE.A.1!

2 7 8 Simplify with positive exponents only: ( x 3 ) 4 Simplify with positive exponents only: CCSS 8.EE.A.1! CCSS 8.EE.A.1! 9 10 Simplify with positive exponents only: 2x 2 3y 5 3 Solve. Leave your final answer in radical form. x 2 = 220 CCSS 8.EE.A.1! CCSS 8.EE.A.2! Solve: x 3 = 64 Determine how many times greater 3x10 4 is than 6x10 2. CCSS 8.EE.A.2! CCSS 8.EE.A.3!

3 ! Which of the following numbers would best represent the speed of a snail in miles per hour? a) 3x10 2 b) 3x10-2 c) -3x10 2 d) -3x10-2 Find the product: ( )( ) CCSS 8.EE.A.3! CCSS 8.EE.A.4! Find the quotient: Find the sum: ( ) + ( ) CCSS 8.EE.A.4! CCSS 8.EE.A.4! Graph: y = 3 4 x Determine who traveled faster: John: d=30t t=hours d=miles Jess: t d CCSS 8.EE.B.5! CCSS 8.EE.B.5!

4 19 20 State the slope and y-intercept of the linear equation: y = 3 4 x 6 Write the slope-intercept form of the equation of the line that passes through the given point with the indicated slope: m = 3 2 ( 4, 5) CCSS 8.EE.B.6! CCSS 8.EE.B.6! Solve: 3( 2x + 8) = 4( 2x + 6) 2x Solve: 3 4 x = 2 3 x +9 CCSS 8.EE.C.7! CCSS 8.EE.C.7! Solve: y = 3 2 x + 3 x + 2y = 2 Solve: 2x + 5y = 3 4x +10y = 3 CCSS 8.EE.C.8! CCSS 8.EE.C.8!

5 25 26 Determine the output: f(x)=8-2x x f(x) Determine if this relation is a function: x y CCSS 8.F.A.1! CCSS 8.F.A.1! Determine which function has the greater rate of change: A: B: y = 3 4 x + 3 Which of the following functions is non-linear? a) y=x b) 2x+3y=6 c) x 2 +y=1 d) y=-5! CCSS 8.F.A.2! CCSS 8.F.A.3! Write an equation of the line that passes through these points: ( 3, -5)( 3, -1) Determine the initial value of the function: x y CCSS 8.F.B.4! CCSS 8.F.B.4!

6 31 32 Determine the rate of change: The function f(x)=8x-100 represents Meghan s profit from selling t-shirts as part of a fundraiser. x = # t-shirts f(x) = profit CCSS 8.F.B.4! State the meaning of the rate of change. CCSS 8.F.B.4! Describe what is happening in the graph: Distance (Miles) Patrick s Bike Ride Time (Minutes) Sketch a speed-time graph to model what is happening in the scenario: Ryan leaves his house at a jogging pace, slows to walk, stops to talk to a friend, then returns home matching his original pace. CCSS 8.F.B.5! CCSS 8.F.B.5! Determine whether the following statement is always, sometimes, or never true: Determine whether the following statement is always, sometimes, or never true: When a line segment is reflected across the x-axis, it will remain the same length. When a pair of parallel lines is rotated 90 o counterclockwise about the origin, they will become perpendicular lines. CCSS 8.G.A.1! CCSS 8.G.A.1!

7 37 38 Describe the transformation: Describe the transformation: A A A C C C B B B A C B CCSS 8.G.A.2! CCSS 8.G.A.2! Describe the transformation represented: (x, y) à (x, -y) Write a general rule using coordinates to describe the sequence of transformations: Rotation 180 o counterclockwise about the origin and dilation by a scale factor of 2 CCSS 8.G.A.3! CCSS 8.G.A.3! Describe the transformation: Solve for x: C B 2x+4 C A B A 2x-16 CCSS 8.G.A.4! CCSS 8.G.A.5!

8 43 44 Solve for x: 31 o Prove that these isosceles triangles are similar. A D 48 o x B C E F CCSS 8.G.A.5! CCSS 8.G.A.5! Explain to a classmate the meaning of the Pythagorean Theorem. Two cars leave from the same location at the same time. One travels due north at 25 mph and the other travels due west at 60 miles per hour. How far apart will the cars be after 2 hours? CCSS 8.G.B.6! CCSS 8.G.B.7! Solve for x. Round to the nearest tenth, if necessary. Find the measure of the radius of the cone: 8 cm 17 cm 8 in 10 in CCSS 8.G.B.7! CCSS 8.G.B.7!

9 49 50 Find the distance between (5, 2) and (-2, 9). Round to the nearest tenth, if necessary. Determine the height of a cylinder given: radius = 3 cm volume = 72π cm 3 CCSS 8.G.B.8! CCSS 8.G.C.9! Determine the volume of a cone given: radius = 2 cm height = 9 cm A grapefruit has a radius of 3 inches. Determine the approximate volume to the whole number. Leave your answer in terms of pi. CCSS 8.G.C.9! CCSS 8.G.C.9! Determine whether there is a positive, negative, or no correlation. Determine whether there is a linear or nonlinear association. Repetitions Completed (#) Population (thousands) Weight Lifted (lbs) CCSS 8.SP.A.1! Time (years) CCSS 8.SP.A.1!

10 55 56 Explain whether or not the trend line drawn below appropriately models the data. Repetitions Completed (#) Weight Lifted (lbs) Ben conducted an experiment for math class. He found that there was a positive correlation between time exercising and heart rate. Initially, his heart rate was 60 bpm. After 3 minutes, it was up to 90 bpm. Write an equation to model the relationship. CCSS 8.SP.A.2! CCSS 8.SP.A.3! One morning, Christine measured the temperature outside every hour. She determined that the equation T=3h+55 can model the temperature (T) at each hour (h). State the meaning of the slope and the y-intercept. Complete the two-way table: Taking Honors Math Not Taking Honors Math Learning French Not Learning French CCSS 8.SP.A.3! CCSS 8.SP.A.4! 59 Determine what percent 60 of students surveyed play an instrument and like video games. Play an Instrument No Instrument Determine what percent of students who do not like video games do play an instrument. Play an Instrument No Instrument Like Video Games Like Video Games Do Not Like Video Games Do Not Like Video Games CCSS 8.SP.A.4! CCSS 8.SP.A.4!

11 Name: Class: Date: Task Cards Workspace

12 f(x)=8-2x x f(x)

13 Speed Time

14 Not 58 Learning French Learning French Honors Math Not Honors Math 45 80