Pre-Algebra Semester 1 Practice Exam B DRAFT

Transcription

1 . Evaluate x y when x = 0 and y =.. Which expression is equivalent to? In Pre-Algebra class, we follow the order of operations in evaluating expressions. Which operation should a student perform first to evaluate the expression 5 + 6? addition division multiplication subtraction 5. The table shows the daily high temperature at an Alaskan observatory. Day Temperature Sunday +8 Monday + Tuesday Wednesday 7 Thursday 0 Friday +5 Saturday What is the order of temperatures from least to greatest? 7,,, 0, +, +5, +8,, 7, 0, +, +5, +8 0, +,,, +5, 7, +8 +8, +,, 7, 0, +5, 6. What is the value of 0 +? GO ON

2 7. Maria s savings account has a balance of $5. She deposited $ for each of three consecutive weeks. Then she withdrew $8 in the final week. She wants to use her savings to buy a CD player that costs $50.. On the coordinate plane below, which, point represents the coordinates ( )? y 6 Does she have enough money to buy the CD player? NO, she needs $ more NO, she needs $0 more YES, she has $6 extra YES, she has $ extra 8. What is the value of 8? 5 5 A B 6 6 D C 6 Point A Point B Point C Point D x 9. What is the value of 8 ( )? Which equation illustrates the associative property of multiplication? 5 = 5 ( 5) = ( 5 ) ( 5 + ) = ( + 5) ( 5 + ) = GO ON

3 . A math teacher simplified an expression using the following steps: Step : x + ( + 5x ) Step : x x Step : x + 5x + 6 Step : 7x + 6 Which property justifies Step? associative property commutative property distributive property identity property. Which equation below shows a correct use of the distributive property? ( x ) 7 = x + 7 ( x ) 7 = x 7 ( x ) 7 = x + ( x ) 7 = x 5. Simplify the expression ( x ) 7x x 9x + 9x x. 7. Each week, Bob is paid x dollars per hour for his first 0 hours of work. He earns double-time pay for every hour worked over 0 hours. Write an expression in terms of x to find Bob s total pay if he worked 65 hours in one week. 0x + 5( x + ) 0x + 65( x) 0x + 65( x + ) 0x + 5( x ) 8. For which of the following is the given value for the variable a solution of the equation? w + 8 = ; w = x = ; x = 8 6y = 0; y = 5 z = 8; z = 6 9. Solve for x in the equation below. 8 8 x + 7 = GO ON

4 0. Find the value of x that satisfies the equation below. x = 8. Solve for x in the equation below x + 5. =.. What would be the best choice for the first step in solving for w in the equation below? w 6 = 5 add 6 to both sides of the equation subtract 6 from both sides of the equation multiply both sides of the equation by divide both sides of the equation by. What is the value of x in the equation below? 7 x + 8 = GO ON.

5 5. Four more than two times a number is six. What is the number? What is the solution to the equation below? x = 6 x = 0 x = 0 x = ( x ) 8 x = 7. What value of x makes the equation below true? 8 5x = x GO ON

6 8. Currently, Nellie has $ in her savings account. She plans to deposit $5 per week. Her brother currently has $50 in his savings account and plans to withdraw $ per week. How many weeks will it take until both Nellie and her brother have an equal amount of money in their savings accounts? 6 weeks 7 weeks 7 weeks weeks 9. Which number line represents the solution set of x +? 0. Solve for x in the inequality below. x 7 x 7 x 7 x 7 6x. What are the values of x when x 6 >? x < x < 6 x > x > 6. Which number line represents the solution(s) to x =?. What is the prime factorization of 8? What is the greatest common factor (GCF) of xy and 8x y? 6x y. 6xy 6x y GO ON

7 6xy GO ON

8 6. Write the fraction below in simplest form. 9ab ab ab b ab b 7. Find the least common multiple (LCM) for 5xy and 6x y. xy x y 0x y 5 0x y 8. What is.05 0 written in standard form? ,05 0,50 0. What is written in scientific notation? Which number is NOT equivalent to? What fraction is equivalent to 0.75? GO ON

9 . What is the decimal equivalent of 6? Order the numbers from least to greatest: 5,,, 0.7, ,,, 0.7, ,,,, ,,, 0.7, , 0.7,,, Deshon is on a 5-mile hike. He has already hiked miles. How many miles does he have left to hike? miles miles miles miles GO ON

10 7. Evaluate xy when. x = and y = Wanda wants to divide cups of ice cream into cup servings. How many servings can she make? 6 servings 9 servings 9 servings 6 servings 9. Solve the given equation for x. 9 x = GO ON

11 50. Which process is used to obtain the inequality shown in Step? add Step : 5 x > 6 Step : 0x 6 > 9 subtract to both sides of the inequality from both sides of the inequality multiply both sides of the inequality by divide both sides of the inequality by 5. During a car trip, Tracy buys gasoline at four different stations. The number of gallons purchased and the total cost for each station are in the table below. 5. Six friends go out for pizza. The total cost of the meal is $60.0. What was the cost per person? $0.05 $0.50 $6.8 $ Which number line represents the solution of the equation below? x = x Station Gallons Total Cost A 8 $7.80 B $50.0 C 5 $6.50 D $ x 0 5 x Which station had the highest price per gallon? Station A Station B Station C Station D On the side of a box of oatmeal it states that preparing 5 servings of oatmeal requires cups of oats. How many cups of oats would you need to serve 5? 6 cups 7.5 cups cups 7.5 cups 0 5 x GO ON

12 56. Triangle ABC is similar to triangle DEF shown below. 58. The two figures shown below are similar. B cm E cm 9 cm A 8 cm D 6 cm x 0 cm 8 cm C F Note: Figures not drawn to scale. Note: Figures not drawn to scale. What is the length of side x? 57. Which proportion can be used to find the missing side length of triangle DEF? 6 DF = = 0 DF 6 DF = = 8 DF cm 6 cm cm 5 cm 59. A -meter flagpole casts a shadow of 6 meters at the same time a nearby building casts a -meter shadow. How tall is the building? 6 m m m 6 m

13 Free Response. The number. 0 is how many times larger than the number. 0? Show all work and explain your reasoning.. The table below shows the cell phone plans offered by two local companies. The monthly charges and text message charges are given. Cell Phone Plan Monthly Charge Text Messaging Charge A $0 $0.5 per text message B $5 $5 unlimited text messages How many text messages could be sent or received each month so the total cost of Plan A equals the total cost of Plan B? GO ON

14 Free Response. The students in the Art Club are going to make mini-pizzas to sell as a fundraiser. They need cups of pizza sauce to make 0 mini-pizzas. The students will be selling mini-pizzas for days and plan to sell 50 mini-pizzas per day. How many cups of pizza sauce will be needed for the days? Show all work and explain your reasoning. Pizza sauce is sold in quart jars. How many jars of pizza sauce will the students need to purchase? Show all work and explain your reasoning. ( quart = cups)