Unit 1 Assessment Review Are you ready???

Question 1 Six less than five multiplied by a number 𝑘 is equal to the sum of that number and two, multiplied by one half. Which of the following equations represents this situation? A) 5𝑘−6= 1 2 (𝑘+2) B) 6−5𝑘= 1 2 (𝑘+2) C) 5 𝑘−6 = 1 2 𝑘+2 D) 5𝑘−6= 1 2 𝑘+2 A

Question 2 A local elementary school is performing a musical. Tickets for students cost $2, tickets for adults cost $5. Let 𝑥 represent the amount of student tickets sold, and 𝑦 represent the amount of adult tickets sold. Let 𝐶 represent the total amount of money raised from selling tickets. Which of the following represents this situation? A) 𝐶=2𝑦+5𝑥 B) 𝐶=2𝑥𝑦 C) 𝐶=2𝑥+5𝑦 D) 𝐶=2𝑦−𝑥 C

Question 3 What is the SECOND step when solving 4 7 𝐻+𝑅 −5𝐿=20 for 𝐻 using the fewest possible steps? A) distribute 4 7 B) multiplying both sides by 7 4 C) dividing both sides by 5 D) subtracting 𝑅 from both sides B

Question 4 Which operation should be performed to solve for the variable 𝑥 using the fewest possible steps in the equation −2 𝑥−4 =4𝑧𝑦 A) multiplying 4𝑧𝑦 by −2 B) multiplying 4𝑧𝑦 by 2 C) adding 4 to both sides D) dividing both sides by −2 D

Question 5 Somaya works as a real estate agent. Her total income is composed of her salary at $55,000 a year, and she makes about 5% commission on every sale (𝑠). Her total income (𝑇) is modeled by the formula 𝑇=55,000+0.05𝑠 How much did Somaya sell if her total income was $100,000? A) $250,000 B) $900,000 C) $90,000 D) $45,000 B

D Question 6 Which equation is equivalent to 1 4 8𝑥−32 −1=3(2𝑥+5) A) 32𝑥−127=6𝑥+15 B) 2𝑥−9=6𝑥+5 C) 4𝑥−7=6𝑥+15 D) 2𝑥−9=6𝑥+15 D

Question 7 The graph of 𝑦=2 𝑥 2 −4𝑥+1 is shown below. What is the approximate solution if 𝑥= 2? A) −5 B) 1 C) −11 D) 4 B

Question 8 When a tub is filled 36 inches high, a researcher decides to analyze the amount of water when water is being filled and drained simultaneously. She decides to turn on the faucet which fills the tub 2 inches per minute, and she unplugs the drain which drains water at 𝑑 inches per minute. She uses the following formula to calculate the total amount of water in the tub. 𝑊=36+𝑚 2−𝑑 where 𝑊= total water in the tub, 𝑚= minutes, 𝑑= amount of water draining per minute. What is a correct formula for the total amount of water in the tub after 4 minutes? A) 𝑊=44−4𝑑 B) 𝑊=36−4𝑑 C) 𝑊=40−𝑚𝑑 D) 𝑊=44+4𝑑 A

Question 9 What is the range of this function? −9, −9 , −1, −3 , −2, 0 , −7, 3 A) {−9, −7, −2, −1} B) {−9, −3, 0, 3} C) {−9, −3, 3} D) {−3, 0, 3} B

C Question 10 Which relation is a function? A) { 1, 2 , 1, 4 , 1, 6 , 1, 8 } B) { 5, −1 , 7, 0 , 5, 0 , 1, −4 } C) { −4, 9 , −2, 9 , 0, 9 , 3, 9 } D) { −2, 3 , 0, 4 , 5, 9 , 0, 2 } C

Question 11 What is the missing value from the function table below for 𝑓 𝑥 = 1 2 𝑥+4? A) 4.5 B) 3.5 C) −0.5 D) 3 B

Question 12 The following equation represents the amount of golden snitches produced after the year 1995. 𝑆=1,500+40𝑦 where 𝑆= amount of golden snitches and 𝑦= years after 1995. In what year were there 1740 golden snitches? A) 2000 B) 2001 C) 2002 D) 2003 B

Question 13 A car rental company charges a rental fee of $20 per day in addition to a charge of $0.30 per mile driven (𝑚). There is also a courtesy tip fee (𝑡). Which of the following equations represents the total cost (𝐶)? A) 𝐶=20+0.3𝑚+𝑡 B) 𝐶=20+0.3𝑚𝑡 C) 𝐶=20+0.3(𝑚+𝑡) D) 𝐶=20−0.3𝑚+𝑡 A

Question 14 Jared plans on packing for a camping trip. He uses the expression 𝑓+ 3𝑡+4𝑤+8𝑏 to figure out how much money he needs to earn for the trip. 𝑓= food he wants to bring, 𝑡= bundles of toilet paper, 𝑤= number of water bottles, and 𝑏= number of batteries. Which of the following statements are true? A) The term 3𝑡 is the cost of 𝑡 bundles of toilet paper B) The coefficient 8 represents the number of batteries he bought C) The coefficient 4 represents the total cost of all water bottles he bought D) 𝑓+3𝑡+4𝑤+8𝑏 represents the total number of objects he bought A

Question 15 According to the graph shown, approximately when will the price of gasoline reach $5 per gallon? A) 1987 B) 1992 C) 2012 D) the price won’t reach $5/gallon C