ate Period Name Practice Math Quiz 11 Multiple hoice Identify the choice that best completes the statement or answers the question. Show your work for the possibility of partial credit. Each answer is worth 3 points. 1. ombine like terms. 2z + 9 z + 3 a. 2z + 27 b. 3z + 6 c. z + 12 d. z + 6 2. ombine like terms. 8x + 5z 4x + 3z + 6. a. 4x + 8z b. 32x + 15z + 6 c. 4x + 8z + 6 d. 12x + 2z + 6 3. Simplify. 9(4t + 6) + 3t a. 33t + 54 b. 39t + 54 c. 39t 54 d. 39t + 6 4. Solve. 10y 2y = 64 a. y = 56 b. y = 8 c. y = 5 1 3 d. y = 72 5. Solve. z + 5 = 13 32 8 16 a. z = 13 b. z = 6 c. z = 46 d. z = 1 4 1
6. The Sanchez family had dinner at their favorite restaurant. 9% sales tax was added to their bill. my paid the bill with a $10 gift certificate plus $30.60. How much did the family s dinner cost before tax? Round your answer to the nearest penny. a. $43.25 b. $37.25 c. $35.95 d. $36.95 7. Solve. 8a 10 = 6a a. a = 0.3 b. a = 5 c. a = 2 d. a = 0 8. Solve. 4v 13 10v = 12 24v + 5 a. v = 1 2 3 b. v = 18 31 c. v = 18 29 d. v = 3 5 9. Solve. y 3 + 8y 4 3 6 = y + 7 2 a. y = 16 b. y = 1 c. y = 3 d. y = 17 49 3 48 10. local water park has two types of season passes. Plan costs a one-time fee of $142 for admission plus $10 for parking every trip. Plan costs a one-time fee of $48 for parking plus $22 for admission every trip. How many visits must a person make for plan and plan to be equal in value? a. 8 b. 7 c. 16 d. 3 2
I: Practice Math Quiz 11 nswer Section MULTIPLE HOIE 1. NS: 7k + 5 k 2 (7k k) + (5 2) Group like terms. 6k + 3 dd or subtract the coefficients. id you multiply the numbers together, rather than adding them? id you use the proper signs for all the numbers? id you use the proper signs for the terms with no variables? PTS: 1 IF: asic REF: Page 584 OJ: 11-1.1 ombining Like Terms to Simplify TOP: 11-1 Simplifying lgebraic Expressions 2. NS: Simplify 8a + 5t 4a 4t 2 (8a 4a) + (5t 4t) 2 Group like terms. 4a + t 2 dd or subtract the coefficients. NT: 8.5.3.c KEY: like terms simplify combine id you forget to put one of the terms in your answer? id you multiply the coefficients together, rather than adding them? id you use the proper signs for all the coefficients? PTS: 1 IF: asic REF: Page 585 OJ: 11-1.2 ombining Like Terms in Two-Variable Expressions NT: 8.5.3.c TOP: 11-1 Simplifying lgebraic Expressions KEY: like terms simplify combine two-variable expression 1
I: 3. NS: Simplify 9(10a 7) + 5a. 90a 63 + 5a Multiply. (90a + 5a) 63 Group like terms. 95a 63 dd or subtract the coefficients. fter grouping like terms did you add and subtract the coefficients correctly? id you use the proper sign for the number that has no variable? id you multiply through for all the terms in the parentheses? PTS: 1 IF: verage REF: Page 585 OJ: 11-1.3 Using the istributive Property to Simplify TOP: 11-1 Simplifying lgebraic Expressions KEY: like terms simplify combine algebraic expression 4. NS: Solve 9x + 2x = 77 NT: 8.1.5.e 11x = 77 11x = 77 11 11 ombine like terms. ivide both sides by 11 to isolate x. x = 7 id you use division to solve this problem? Should you be adding or subtracting the coefficients? How do you undo multiplication? PTS: 1 IF: verage REF: Page 585 OJ: 11-1.4 ombining Like Terms to Solve lgebraic Equations NT: 8.5.3.c TOP: 11-1 Simplifying lgebraic Expressions KEY: like terms simplify combine equation 2
I: 5. NS: To solve this equation, multiply both sides of it by the least common denominator to clear the fraction. Use the inverse operation to isolate the variable from the addition/subtraction. Then use division as the inverse operation to isolate the variable from the multiplication. How do you solve multi-step equations? id you use inverse operations to solve the equation? id you clear the fractions? PTS: 1 IF: verage REF: Page 588 OJ: 11-2.2 Solving Equations That ontain Fractions NT: 8.5.4.a TOP: 11-2 Solving Multi-Step Equations KEY: fraction multi-step equation solving 6. NS: price of dinner + (price of dinner % sales tax) = amount of gift certificate + amount paid Substitute values and solve. The family paid 8% sales tax and paid with a $25 gift certificate plus $39.30. Let p represent the price of the dinner. p + Ê Ë Á p 0.08ˆ = 25.00 + 39.30 1.08p = 64.30 1.08p 1.08 = 64..30 1.08 p = 59.53703 59.54 How do you find the percent? id you remember to account for the gift certificate? id you account for the sales tax? PTS: 1 IF: verage REF: Page 589 OJ: 11-2.3 pplication NT: 8.5.4.a TOP: 11-2 Solving Multi-Step Equations KEY: multi-step equation solving 3
I: 7. NS: Use inverse operations to group terms with variables on the same side of the equation, and simplify by using addition/subtraction. fter the like terms are on one side of the equation and the equation is simplified, divide by the like terms to get the correct value for the variable. id you combine like terms? id you divide the like terms correctly? id you use the correct inverse operations to solve? PTS: 1 IF: asic REF: Page 593 OJ: 11-3.1 Solving Equations with Variables on oth Sides NT: 8.5.4.a TOP: 11-3 Solving Equations with Variables on oth Sides KEY: equation solving 8. NS: Use inverse operations to group terms with variables on the same side of the equation and to group the constant values on the opposite side of the equation. Then use division as the inverse operation to isolate the variable from the multiplication. Should your first step be to combine like terms? id you combine like terms properly? id you use the correct inverse operations to solve? PTS: 1 IF: verage REF: Page 594 OJ: 11-3.2 Solving Multi-Step Equations with Variables on oth Sides NT: 8.5.4.a TOP: 11-3 Solving Equations with Variables on oth Sides KEY: multi-step equation solving 9. NS: To solve multi-step equations with variables on both sides, clear the fractions by multiplying the entire equation by the Least ommon enominator. ombine the like terms. dd or subtract variable terms to both sides of the equation so the variable occurs on only one side of the equation. Use division as the inverse operation to isolate the variable from the multiplication. id you combine the like terms correctly? id you correctly isolate the variable? id you combine the fractions correctly? PTS: 1 IF: verage REF: Page 594 OJ: 11-3.2 Solving Multi-Step Equations with Variables on oth Sides NT: 8.5.4.a TOP: 11-3 Solving Equations with Variables on oth Sides KEY: multi-step equation solving 4
I: 10. NS: Let n represent the number of trips to the park. admission + (parking n) = admission + (parking n) Use inverse operations to group terms with variables on the same side of the equation and to group the constant values on the opposite side of the equation. Then use division as the inverse operation to isolate the variable from the multiplication. Should your first step be to combine like terms? id you combine like terms properly? id you use the correct inverse operations to solve? PTS: 1 IF: verage REF: Page 595 OJ: 11-3.3 pplication NT: 8.5.4.a TOP: 11-3 Solving Equations with Variables on oth Sides KEY: multi-step equation solving 5