Unit 1 - Solving Equations & Inequalities. Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3. 4) 5 x = 7 + y 5) 50x 75 > 100x 200 2

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1 Unit 1 - Solving Equations & Inequalities Solve for x. 1) 5-6c + 3 = 50 2) 2x 6 = 8 3) 4x + 3b = j 3 4) 5 x = 7 + y 5) 50x 75 > 100x Write an equation for each. Do NOT solve. 6) Six is equal to the quotient of 12 and a number. 7) 8 more than the product of 7 and a number is equal to 35. 8) Nine less than a number is equal to 5 times the same number. Write and solve an equation/inequality for each situation. 9) Kim is 6 inches taller than Joy. Joy is twice as tall as Beth. The sum of the heights of the 3 girls is 156 inches. How tall (in inches) is each girl? 10) Company A charges $350 to power wash the sides of a building, plus $15 for each window. Company B charges $100 to power wash the sides of a building, plus $25 for each window. How many windows must a building have in order for Company A to be less expensive?

Unit 2 Understanding Functions & Rate of Change Using the relation: (6, 3), (8, 0), (-2, 4), (5, -2), (6, -1) 1) Identify the domain - 2) Identify the range - 3) Create a mapping diagram 4) Is the

2 Unit 2 Understanding Functions & Rate of Change Using the relation: (6, 3), (8, 0), (-2, 4), (5, -2), (6, -1) 1) Identify the domain - 2) Identify the range - 3) Create a mapping diagram 4) Is the relation a function? 5) Discrete or continuous? Using the graph. 6) Identify the domain 7) Identify the range 8) Is it a function? 9) Discrete or continuous? Find the slope of a line containing the given points. 10) (8, 2), (- 4, 6) 11) (5, -2), (5, 1) Graph using the intercepts. 12) 3x 4y = 24

3 Use the graph to identify the slope, the intercepts, and the meaning of the intercepts. Traveling Home from Grandma s House 13) Slope ) x-intercept: 15) x-intercept meaning: 16) y-intercept: Distance from Home (miles) ) y-intercept meaning: Hours Unit 3 Linear Equations Graph using slope-intercept form. 2 1) y x 1 2) 4x 3y 6 3 Write an equation for a line containing the points (6, 2) & (-3, 5): 3) In slope-intercept form 4) In point-slope form 5) In standard form

4 A clothing store offers a rewards program in which customers earn points by making purchases at the store. Every item bought is worth 8 points, and customers earn 20 points when they sign up. 6) Define your variables: 7) Write an equation for the function that gives the number of points based on the number of items bought. 8) Graph the equation. 9) Use the graph to find out many points a customer will have after making 4 purchases. Unit 5 Systems of Equations & Absolute Value Equations 1) Solve the system of equations by graphing. 3x 4y = 8-2y = -8 2) Solve the system of equations by substitution. x + 7y = -11-2x 5y = 4

5 3) Solve the system of equations by elimination. -3x + 2y = 4 5x 3y = 1 Write and solve the system of equations. 4) A jar contains quarters and dimes. There are 20 coins and the total value is $2.75. How many quarters and dimes are in the jar? Solve each system of inequalities. 5) 5y < 2x x 5y < 30 6) A student wants to buy some new shirts and shorts. Shirts cost $10 and shorts cost $20. They want to buy at least 6 new items of clothing and stick to their $100 budget. Give at least 2 possible solutions.

6 7) Graph y = x Describe the translation, identify the slope, and state the range 8) y = -½ x ) y = 3 x 6 Write an absolute value equation for each function as described. 10) The parent function is stretched and translated up 8 11) The parent function is translated left 2 and down 4 Solve each absolute value equation. 12) -4 -x = -3 13) -3 x = 4

7 Unit 6 Exponents Simplify. 1) 3x 5 yz 6 2) (4x 8 y 4 z 5 ) 2 (-x 6 y 3 z 2 ) 4-6x 2 y 8 z 3 3) 6d -5 4) (3x 2 5x + 8) (5x 2 + 2x 4) 5) (-5b 2 c -78 ) 0 6b 5 c 2 6) (6x 3 y 7 z) (-2xy 4 z 3 ) -b 3 c -9 7) 4a 3 b -3 8) (-2x 2 ) 3 2ab Identify each expression as a monomial, a binomial, a trinomial. Write the degree of each expression. 9) 6b 2 c 10) x 2 y + 9x 4 y 2 3xy Unit 7 Multiplying & Factoring Polynomials Multiply. 1) 3x 4 (5x 7x 5 + 2) 2) (x + 4)(x 8) 3) (3x + 2)(3x 2) 4) (5x + 4) 2 5) (2x 5)(4x 2 + 8x 6)

8 Factor. 6) x 2 8x + 7 7) 25x ) x 3 2x 2 + 6x 12 9) 6x 5 3x x 10) 3x 2 + 2x 8 11) 2x 2 18x ) 36x x ) 6x x 18

ASU Mathematics Placement Test Sample Problems June, 2000

ASU Mathematics Placement Test Sample Problems June, 000. Evaluate (.5)(0.06). Evaluate (.06) (0.08). Evaluate ( ) 5. Evaluate [ 8 + ( 9) ] 5. Evaluate 7 + ( ) 6. Evaluate ( 8) 7. Evaluate 5 ( 8. Evaluate