Algebra Semester Review Winter 0 ALLEN PARK HIGH SCHOOL First Semester Review Algebra Winter 0
Algebra Semester Review Winter 0 Select the best answer for all 8 questions. Please show all work (or attach on separate paper) and clearly mark what your final answer is.. Find =. Find = 8 9 8. Find + =. Find 8 i = 0. Using the line graph to the below, in which month where the sales the lowest at the school supply store. September October November December. Using the pie chart below which two activities combined represent about 0% of the summer campers time? Crafts and Eating Hiking and Canoeing Canoeing and Hiking Hiking and Eating
Algebra Semester Review Winter 0. Out of the students that were surveyed about their height in centimeters, exactly of them said they had a height of cm. -0 cm -0 cm -0 cm -80 cm 8. Write the following algebraic expression as a verbal expression: a 8b A number a cubed minus the product of 8 and b A number a decreased by the quotient of 8 and b A number a squared less than 8 time b A number a to the second power decreased by the product of 8 and a number b 9. Write the following algebraic expression as a verbal expression: t The variable t less than six Six less than the variable t Six decreased by the variable t Six more than the variable t 0. Write the following verbal expression as an algebraic expression: One-eighth of the variable y squared. y 8 8y 8 y 8y. Write the following verbal expression as an algebraic expression: more than the product of times x x x + x() x +. Use the order of operations to solve 8 + 8 8. Use the order of operations to solve (+ 0 ) -8. Use the order of operations to solve the following expression when x =, y =, z = : x + ( y+ z ) 8. Use the distribution to expand ( x x+ ) x x+ x + x x + x x + x
Algebra Semester Review Winter 0. Translate each sentence into an equation: Two plus the quotient of a number and 8 is the same as. + 8n = n + = 8. Translate each sentence into an equation: The sum of q and times t is 9. q g t = 9 t 9 q = n + = 8 n + 8 = q+ t = 9 9 q = t 8. Translate each sentence into an equation: The density of an object is the quotient of its mass and its volume. D =mv M=d-v V= m-d D=m/v 9. Solve x = - 9-9 0. Solve x = - -. Solve a + = 8 0-0. Solve 8 = + 8n - - -8. Solve x.8 =. -. -. -9. -0.8 y. Solve = 8 0 0. 0 9. Solve w+ = w / ½. Solve 8s 0= ( s) -.8 0..8. Evaluate - 9-9
Algebra Semester Review Winter 0 8. Evaluate + - - k 9. Solve for k: = j k = j + k = j - k = j + k = -j - 0. Solve for c: x= b cd c = x - b d c = x - b d c = xb d bd c = x +. Solve for r: C = π r r = π C C r = π + C r = π r = πc. Determine if the following equation is linear or non-linear: = xy + y Linear Not Linear; variable(s) have exponents Not Linear; variable(s) in the denominator Not Linear: variables being multiplied together. Determine if the following equation is linear or non-linear: x = y Linear Not Linear; variable(s) have exponents Not Linear; variable(s) in the denominator Not Linear: variables being multiplied together. Determine if the following equation is linear or non-linear: x = y Linear Not Linear; variable(s) have exponents Not Linear; variable(s) in the denominator Not Linear: variables being multiplied together. Determine if the following table represents a linear or non-linear graph. Linear; both the x- and y-values have a constant change Linear; only the x-values have a constant change Not Linear; neither the x- or y-values have a constant change Not Linear; the y-values are decreasing and the x-values are increasing. Find the x-intercept for the following equation: x+ y= x y 0 9 (0, 8) (8, 0) (0, -8) (-8, 0)
Algebra Semester Review Winter 0. Find the y-intercept for the following equation: y= + x (, 0) (0, ) (-, 0) (0, -) 8. Determine the Rate of Change for the following table: 9. Determine the Rate of Change for the following graph: x y - -8-0 0 - - ( 0,) (,) 0. Determine the Rate of Change for the following equation: y= x -. Determine the slope of the following points: (-, 0) & (, ) -. Determine the slope of the following points: (, ) & (, -) 0 Undefined. Find the missing value of r for the following points and slope: (-, ) (r, -) m = - - 0. Find the missing value of r for the following points and slope: (-8, ) (r, ) m = undefined -8 -. Write an equation in slope-intercept form given: slope = y-intercept=- y = x y = x+ y = x y = x
Algebra Semester Review Winter 0. Write an equation in slope-intercept form given: slope = y-intercept= y = x + y= x y= x y = x. Rewrite the following equation into slope-intercept form: x y = y = x + y= x+ y = x y= x 8. Rewrite the following equation into slope-intercept form: y = y = y = y = y = 9. Write an equation of the line with a slope of and y-intercept of. y = x y = x y = x + 0. Write an equation of the line with a slope of 0.8 and y-intercept of 0. y= 0.8x + 0 y= 0.8x 0 y= 0.8x + 0. Write an equation of the line that passes through the point (, ) and slope m =. y = x y= x + 0 = + y x y= x y= x + y= x +. Write an equation of the line that passes through the points (,8 ) and (, 8). y= 8x + y= 8x + y= 8x y= 8x+ 8. Beach Bike Rentals charges $.00 plus $0.0 miles to rent a bicycle. Write an equation for the total cost C of renting a bicycle for m miles.. C = + 0.m C = 0. + m m= + 0.C C = + m
Algebra Semester Review Winter 0.. Write an equation in slope-intercept form for the following graph: y = x + y= x y= x y = x+. Write an equation in slope-intercept form for the following graph: y = x+ y= x+ x = y =. Write an equation in slope-intercept form for the following graph: y = x = y = x y = x+ 8. A television repair shop charges $ plus $0 per hour. The situation can be represented by the equation C = + 0h. What is the cost of repairing a television that takes four hours to repair? $80 $ $ $9 9. Solve the inequality k < and identify the correct graph of the solution on the number line. k < k > k < k < 0 9 0 9 0 9 0 9 0. Solve the inequality w and identify the correct graph of the solution on the number line. w 9 0 9 8 w 9 0 9 8 w 9 0 9 w 9 0 9 GO ON TO THE NEXT PAGE
Algebra Semester Review Winter 0 For questions through 8, solve each inequality. b.. 9m b 8 b b 0 b 8 m 8 m 8 m 8 m 8. h + 9 > h > h > h > h <. a+ a > a < a > a < a >. 9n 8+ n n n 8 n n For questions 9 and 80, solve the compound in equality and identify the correct graph on the number line.. u+ 8 and u < u < 0 0 8 0 0 u < 9 0 0 8 0 < u 0 u < 9 0 0 8 0. g > or g + > 8 0 0 8 0 g < 0 0 8 0 < g < g > 0 0 8 0 g > 0 0 8 0 0 0 8 0 8. Solve d + > 8 GO ON TO THE NEXT PAGE
Algebra Semester Review Winter 0 d < 9 d > 9< d < d < 9 or d > 9. Solve c + c c c c or c For questions 8 through 8 use the graphs to determine the number of solutions each system has. y 8. x = y= x no solution one two infinitely many 8. x = x= y no solution one two infinitely many 8. Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. y = x+ y = x no solution infinitely many one solution; (, ) one solution; (, ) y = x x = y y = x y = x + x x = 89. Use substitution to solve the system of equations; y= x+ (, ) ( ) (,) (, ) (, ) ( φ ) GO ON TO THE NEXT PAGE x+ y= 0 90. Use substitution to solve the system of equations; x+ y = 0,9 (, ) ( 9,0 ) x+ y = 9 (, ) infinitely many solutions (, 0 ) (, ) 9. Use elimination to solve the system of equations; x y= (, ) ( ) x+ y= 9. Use elimination to solve the system of equations; x+ y= (,) ( ), (,0) ( 0, ) x+ y= 0, (, ) 9. Use elimination to solve the system of equations; x+ y = 8 x+ y = 9 ( ),
Algebra Semester Review Winter 0 STOP DO NO GO ON