MATH-A Equations and Inequalities Exam not valid for Paper Pencil Test Sessions

Transcription

1 MTH- Equations and Inequalities Exam not valid for Paper Pencil Test Sessions [Exam I:55EVG5 1 If = bc + us, which equation is solved for s? 2 Which graph represents y = -x?

2 3 student's work is shown in solving the equation for the variable y. etween which two steps does the student incorrectly perform an operation in order to solve for the variable y? Step 2 and step 3 Step 1 and step 2 Given and step 1 Step 3 and step 4 4 Which is an equation for the line which contains (3, 4) and the origin? y = 3x y = x 4 4 y = x 3 y = 4x + 3

3 5 Look at the information in table Which line has a slope of 5? Line #1 Line #4 Line #3 Line #2 6 What value for x and y will satisfy the system of inequalities? x = 6 and y = 0 x = 0 and y = 2 x = 1 and y = -1 x = 6 and y = -2 7 What is the slope of a line that passes through (0, 5) and (3, 2)? What is the slope of the line -4y - 16x - 20 = 0?

4 9 The formula for the perimeter of a rectangle is P = 2w +2l. Which equation solves the formula for l? 10 If a = 2d + 5r, which equation is solved for r? 11 irections: lick and drag the answers to the correct box. Match the scenario with its type of rate of change. Negative constant rate of change Positive varying rate of change Negative varying rate of change Positive constant rate of change 12 Which is an equation for the line that passes through the points (-3, 13) and (2, -2)? y = 3x + 4 y = -3x - 4 y = -2x - 3 y = -3x + 4

5 13 Which graph best shows the solution to the system of inequalities above? 14 Jade is justifying each step when solving the following problem. Which justification is incorrect? In which step is the justification incorrect? Step 3 Step 4 Step 5 Step 2

6 15 Which graph correctly displays the solution to the system of linear inequalities? 16 Which graph best represents the following function? y = 3x 4

7 17 Which system of inequalities is represented in the graph? 18 Look at the graph. What is the rate of change? 10 hours/dollar 10 dollars/hour 20 hours/dollar 5 dollars/hour

8 19 shley wrote these steps when solving an equation. 6x + 3 = 21 Step 1: 6x = 18 Step 2: x = 3 Which property justifies the work between Step 1 and Step 2? dditive inverse property dditive identity property Multiplicative identity property Multiplicative inverse property 20 The cost to rent a dump truck is $50 per day plus $26 per hour of use. What is the maximum number of hours the truck can be used each day if the rental cost should not exceed $193 per day? What is the solution to the following inequality? -w w > -2 w < -4 w > -4 w > -16 < 5 22 What property is illustrated by the equation? Reflexive property of equality istributive property Symmetric property of equality Transitive property of equality x (8x + 3y ) = 8x 2 + 3xy

9 23 Two students show their work when solving an inequality. Which additional property did Megan use that ruce did NOT use? Inverse property of multiplication Identity property of multiplication Multiplication property of inequality ommutative property of addition 24 The ordered pair (-4, 5) is a solution and (-4, -3) is NOT a solution to which system of inequalities?

10 25 Michael wrote these steps when solving an equation. -2(x +5) 5x = -20 Step 1: -2x 10 5x = -20 Step 2: -7x 10 = -20 Step 3: -7x = Step 4: x = 7 Which property justifies the work between Step 2 and Step 3? Multiplicative inverse property dditive identity property Multiplicative identity property dditive inverse property 26 Kia wants to order a large pizza from Frank's Pizza. Each large cheese pizza costs $8.75 and each additional topping costs $0.50. If Kia spends $15.00, which inequality can be used to determine the most amount of additional toppings Kia got? 0.50x x x x Leron wrote these steps when solving an equation. -32 = 4(x - 3) Step 1: -32 = 4x -12 Step 2: -20 = 4x Step 3: -5 = x Step 4: x = -5 Which property of equality justifies the work between Step 3 and Step 4? Reflexive property of equality Identity property of equality Symmetric property of equality Transitive property of equality

11 28 Ron paid $75.00 for 5 compact disks and a case. If the price of each compact disk was $12.60, what was the price of the case? $63.00 $15.00 $12.50 $ basketball team must sell t amount of tickets to make m amount of money using the following equation: m = t t How many tickets must be sold for the team to break even (m = 0)? Larry earns $150 a week selling cars. He receives a bonus of $60 for each car he sells plus his salary. How many cars must he sell to earn at least $550 a week? at least 6 at least 7 at least 5 at least 4 31 freshman class is planning a carnival. The cost to rent the space and rides is $350. Each freshman must pay $0.50 to attend the carnival. Each guest must pay $2.00 to attend the carnival. If 100 freshmen attend the carnival, how many guests must attend in order to pay for the cost to rent the space and rides? t least 175 guests t least 200 guests t least 150 guests t least 225 guests 32 What property of equality is illustrated by the following statement? Transitive property istributive property Symmetric property Reflexive property If 3 x = y and y = 4x 5 then 3x = 4x 5.

12 33 Which property would justify the following statement? Transitive Property of Inequality ddition Property of Inequality Substitution Property of Inequality Multiplication Property of Inequality If -5 <-1 and -1 < 2 then -5 < Which property of equality justifies the statement 6a = 6a? Reflexive property Identity property Transitive property Symmetric property 35 Lucy is framing a rectangular picture with a perimeter of 60 inches. The width is double the length. What are the dimensions of the frame? Length = 10 and width = 20 Length = 20 and width = 10 Length = 30 and width = 30 Length = 10 and width = Jane shows her work when solving an inequality. In which step did Jane justify her work with the wrong property? Step 4 Step 2 Step 5 Step 3

13 37 Joe has been asked to re-write 8x + 5 = 21 using the symmetric property of equality. What will Joe write on his paper? x = x = 21 8x = = 8x What is the solution set for the equation below? 1 1 {, } {, } {, } {, } 3 2 (4 x + 2)(3x + 1) = a a 6 Which solution satisfies the inequality? 40 Which graph represents the solution to the inequality 7(s + 9) s?

14 41 Sarah simplified the following expression. 1 2( x + ) 3(0 + x ) 2 Which property did Sarah NOT use when simplifying the expression? ssociative property of addition Multiplicative inverse property ommutative property of addition istributive property 42 ernard spent $5,100 replacing the flooring in his 1,800 square foot house. He paid $5 per square foot for carpeting and $2 per square foot for vinyl tile. If c represents a square foot of carpeting, and v represents a square foot of vinyl tile, which is a system of equations that could be used to determine the amount of each material he used? 43 What is the solution to the following equation? x = 30

15 44 Which graph shows the solution to the equation x 2 + x 6 = 0? 45 quadratic function generally has how many solutions? What is the minimum value of the quadratic function g (x ) = 5x + 6x 2 1?

16 47 What value of p satisfies the inequality shown below? (p + 2) < What appears to be the solution to the system of equations shown in the coordinate plane above? ( 1.5, 3) (2, 4) (2, 4) ( 1.5, 4) 49 What is the solution set for 3x 2 12 = 0? { 2} {2} { 4, 4} { 2, 2} 50 What is the solution to the system of equations shown above? ( 6, 11) ( 3, 7) Infinitely many solutions No solution

17 51 What is the apparent solution set for the equation associated with the following graph? 52 What is the solution to the following equation? x = 9.5

18 53 What is the number of solutions for this system of equations? None What is the solution to the system of equations? (5, 1) (1, 1) (7, 5) (2, 7) 55 Solve: x = 1 3 x = 36 x = 49 x = x (x 3) = 39 6

19 56 Which is a solution for 3x + 4 = 5x + 5? irections: Type your answer in the space provided. Explain each step in solving the equation below. x = 6 58 What is the solution to the system of equations shown above? ll real numbers ( 3, 4) (9, 2) No solution 59 What is the solution set for the following equation? { 2, 3} { 7, 1} { 3, 2} { 1, 7} x 2 + 6x 7 = 0 60 What is the solution to the following equation? (x + 3) + 5x = 15

20