2. to-2.52+l (3x + 7) + 5{x - 1") 5. 2x2 +5y x-4y L.32-5(6+4)+Z. a. 3(x - 8y) Unit 2; Unit 4: Unit 1: 1Can...

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1 Name Date Period Math 8 EOST Review for Units 1-4 Review the "l Can" statement list for the main concepts of each unit (1-4) covered this semester. Unit 1: 1Can.... use order of operations to simplify and/or evaluate an expressions.. identify equations that have one solution, infinitely many solutions or no solutions.. solve multistep one variable equations that have rational coefficients and variables on both sides. Unit 2; o identify numbers as rational or irrational. o apply the properties of integer exponents to simplify and evaluate numerical expressions. o evaluate the square roots of small perfect squares and cube roots of small perfect cubes. o understand that all non-perfect square roots and cube roots are irrational. e estimate numbers as a product of a single digit and a power of ten.. compare numbers expressed as a product of a single digit and a power of ten by a scale factor.. represent very large and small quantities in scientific notation and use appropriate units.. convert between decimal notation and scientific notation. o perform mathematical operations with numbers in scientific notation. p using square or cube roots.. solve equations of the form x2 - p and x3 = r place irrational numbers on a number line. o use approximations of irrational numbers to estimate the value of expressions. o use the Pythagorean Theorem to solve problems finding a missing side o use the Converse of the Pythagorean Theorem to determine if three sides form a right triangle o usc the formula for volume of circular solids (cylinder, cone & sphere) to solve problems. Unit 3: o identify relations that are functions (given ordered pairs, tables, mappings, graphs or equations) r identify the domain & range for a function from list of ordered pairs, table, mapping or graph. o find functions values given the function equation and value requested. Unit 4: e find slope between coordinate points, a table, a graph or an equation and graph the linear equation o identify the slope of horizontal or vertical lines o graph a linear equation from a pair of points, table of values or an equation o write the equation of a line given the slope & y-intercept, the slope & a point, two points or a graph.. determine if a function is linear or non-linear from a table, graph or equation Unit 1: Algebra Basics Simplifu the following: L.32-5(6+4)+Z 2. to-2.52+l (3x + 7) + 5{x - 1") Evaluate using x -- 2,Y = 7 gnd z = 4 a. 3(x - 8y) 5. 2x2 +5y x-4y2-72+8

2 Solve: 7.215x+71=lS x=4x x-7:r6x+5-3x x=4x-2x 11.3x+2(5x-3)=7. Solve by writing an equation to represent the situation, and then answer the question. 12. Maria and Tom sold candy bars for a fundraiser. Maria sold 7 less than hlrice the number of candy bars that Tim sold. ln total, Maria and Tim sold 137 candy bars. Find the number of candy bars sold by each. 13. The length of a rectangle is 2 more than 3 times the width. If the perimeter is 92, find the dimensions of the rectangle. 14. Eleven diminished by 5 times a number is the same as 4 times the number increased by 20. Find the number. Unit 2: Exponents, Scientific Notation, Radicals Simpliff the following: t. rf.ns z. *0. f 3. b(fz.lz fyf asb'2c3. 3a{b7c s.{ r5 - lnll b.- mo, 15' " rsz s.#

3 9. (,C)' 10. (m6)s L1. (3zr)2 12. (-5x)2 13. ({3}0 14. t-7y) }p L6. TZx2yoz'' ',.(#) ls (#),, (,-q)' zo wo 2L: L 22. (2mI3 23. (32)a 24. a-zb a-J - zs.# zo. (2xzy){5x'Y}+ 12t/ 27. (Zrtsz1't 28,?xzys + 14x2y3-10x4y 15y' Find the following perfect square rootr and cuhe roots. 1. y't60 z. V& 3. fi6-e 4. iffi Setween what turo whole numbers does the following squar root fall between? s. 166' 6. y'3i 7. fi46 B. 1ffi Estlmate the tollowlng rguare roots to the nearest tenth, 9../Tq 10. 1ff0 11. rm tz, IT

4 Solve the following equations involving perfect squares and perfect cube variables. L3.2x2-14=84!4. x2-l=12o 15. x3 +L2= x3= For the following numbers, circle ALL that are irational. -% 3.26 nn,la 7L.L3 VTi6-11 n rc Change the following numbers from scientific notation to standard form x x x Change the following numbers from standard to scientific notation form. 1, 32,500, ,430,000,000, , Compare the following as <, > or =. 1. 1,160,000 O 1.16 x Q s.o * ro* 21. Put the following in least to greatest order. 1,,47 xl0'2, L.47 xlo}, L4,700, Perform the following mathematical operations with scientific notation. 5.5x x x x105 (2.4x104X3.3x106) {7.1.x1.0-3X2.2x107) 8.4 X X X 1-0s 2.3 X 1"0*3

5 Unit 2 Part 2: Volume of Circular Solids and Pythagorean Theorem Volume Cylinder: V = ntz h Formulas: Cone: V =Yrnr2 h Sphere: Y = 4/3nr3 Find the volume for each figure below, both in terms of TI and approximate, rounding to the nearest tenth. Answer in terms of?i (exact) Using 3.14 for?i 1. Sphere with diameter of 8 in. 2, Cylinder with a height of 3 cm and radius of 5 cm 3. Cone with a height of 7 ft. and diameter of 12tt. 4. An oil funnel is in the shape of a cone. lt has a diameter of 6 inches and a height of I inches. lf the end of the funnel is plugged, how much oil can the funnel hold before it overflows? Find your answer to the nearest tenth. 5. A cylindrical glass has a radius of 4 inches and a heighth of 10 inches. What is the maximum amount of koot-aid :) the glass can hold? Find your answer to the nearest tenth. 6. A scoop of ice cream from Bruster's has a diameter of 4.8 inches. What is the volume of the scoop of ice cream to the nearest tenth?

6 Pythagorean Theorem is the relationship between the sides of a right triangle: Find the length of the missing side of each right triangle, Estimate answers to the nearest tenth as needed. 7. find x 8. find x 9. a=7,c=l(,findb Determine whether the given side lenths form a right triangle, are they a Pythagorean Triple? Yes or No ft, 15 ft, 20 ft tl. 7 in,4 in,5 in L2. 4A cm,9 cm,4lcm Using the Pythagorean Theorem, solve the following problems. Round answers to the nearest tenth as needed. Draw an illustration if one is not provided. Answer the question with a complete sentence. 13. A 30 foot ladder is leaned against a wall. lf the base of the ladder is 12 feet from the wall, how high up the wall will the ladder reach? 14. A rectangle is 1.1 in wide and 13 in long. Find the length of its diagonal. 15. Megan lives 9 miles north of the mall. Cindy lives 12 miles east of the mall. What is the shortest distance between Megan and Cindy's homes?

7 Unit 3: Relations, Functions and Number System State the domain and range of each relation. Then determine whether each relation is a function. 1' sormain Ramge Domain: Range: Domain: Range: Function: Yes/No LinearlNon-Linear Function: Yes/No Linear/Non-Linear {(-3,4), (-2,4),(-1, -1)(3, -t)} Domain: Range: Function: YeslNo LinearlNon-Linear Domain: Range: tunction: Yes/No Linear/Non-Linear Find the value if /(r) = Zx * 1 s./(0) 6. f(12) Find the value if g(x) = 2 - Zx 7' s{4) a.g(-1)

8 Unit 4: Linear Equations Determine the slope: l. l-lz, -1) and (-3, -4) 2. l-t,7)ano l-ll,7l 3, x v L4 5. Write a linear equatiort in slope intercept form using the given lnformation. 6. m * 1 and y-intercept = m = -4 and passes thru (0, -5) 8. m =% and passes thru (0, 1) 10. (0, 1) and (t-3, -7) are points on the line

9 ldentify the slope and y'intercept for the following: 11. Y = -3x L2.2x+5y* Y=5x+8 Graph the following linear equations. L4. x=4 15. y=-2x x+y=-4 L7. y =-3 For the following problems, determine the rate of change (slope) then can you identify what is being compared (the practlcal meaning for the probleml. Time {min} 1Ct l#at*r kfi in p:ol fcall sn rld?tl 3{r 4D 4tt 2r) Time fnrinl {Hltr}8$ 15 T}U 30 13{} 45 1 *1{} tlli!4{}

10 Fsnrt ilh$sutflnnjt* ffinud Pythagorean Theorem: of a right triangle, where a and b represent the Used to find the and c represents the Know the formulas for the volume of circular solids: Cylinder: Cone: Sphere: Slope-lntercept Form: m= andb= Used to identify the equation of a To graph using this form, start at _ on the then move and connect the point to draw the line. Standard Form: Also used to identify the equation of a *Be able to convert to y = s1x + b in order to graph or identify components of the line. Slope Formula; Used to find the slope between two ordered pairs: (xr, yrl & lxr, yzl *A zero "underneath" means. A zero in the top means trw Luffit{ ffi #ffi$r ffiefil