Solving Linear Equations Unit Test
A) Are the steps to solve the equation 3y−4=29 for y the same as solving the equation −4z+3=−21? Explain.(1 point)
-The steps are not the same. To solve for y, add 4 to both sides, and then multiply both sides by 3. To solve for z, subtract 3 from both sides, and then multiply both sides by 4.
-The steps are not the same. To solve for y, subtract 4 from both sides, and then divide both sides by 3. To solve for z, add 3 to both sides, and then divide both sides by 4.
-The steps are the same. To solve for y and z, add 4 to both sides, and then divide both sides by 3.
-The steps are not the same. To solve for y, add 4 to both sides, and then divide both sides by 3. To solve for z, subtract 3 from both sides, and then divide both sides by −4.
Question 2
A) If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are 5 inches of rain? Create a linear equation that is a model for the rain that has accumulated. Select the two correct answers.(1 point)
-0.5h+1.5=5
-1.5+0.5h=5
-0.5h+5=1.5
-1.5h+0.5=5
-0.5+1.5h=5**
Question 3
A) Given the linear equation, 2x+4=6, find the rate, initial value, and specific value.(1 point)
-The rate is x, the initial value is 2, and the specific value is 6.
-The rate is 2, the initial value is 4, and the specific value is 6.
-The rate is 2, the initial value is 6, and the specific value is x.
-The rate is 4, the initial value is 2, and the specific value is x.
Question 4
A) Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat 3 meals a day.(1 point)
-2t+2=6
-4−3t=6
-3t+2=20
-3t+5=32
-2+6t=8
Question 5
A) Every time Jacob mows his neighbor's lawn he gets 20 dollars. He has 70 dollars in his bank account and needs 190 dollars to buy a used video game console. Set up an equation, then solve it, to determine how many times he needs to mow his neighbor's lawn to have enough money to purchase the game console.(1 point)
-He needs to mow the lawn 6 times
-He needs to mow the lawn 8 times
-He needs to mow the lawn 13 times
-He needs to mow the lawn 4 times
Question 6
A) Write out the algebraic proportion of the ratio of 11 to 25 subtracted by c and the ratio of 4 to 6 subtracted from c.(1 point)
-1125−c=4c−6
-11c−25=4c−6
-1125−c=46−c
-1125−c=c−64
Question 7
A) Carlene solved 925−d=1625+d and obtained d=7. Is Carlene's answer correct? If not, describe her error and determine the correct answer.(1 point)
-Carlene's answer is incorrect; she should have subtracted 16d from 9d after cross-multiplying and distributing. The correct answer is d=−25.
-Carlene's answer is correct.
-Carlene's answer is incorrect; she made a sign error at the very end of the simplification. The correct answer is d=−7.
-Carlene's answer is incorrect; she should have subtracted 9d from 16d after cross-multiplying and distributing. The correct answer is d=25.
Question 8
A)
A baseball team consistently wins six out of every seven games. Sabrina is a fan of the team and wants to calculate how many games they must play in order to win 42 games. She sets up the following ratio where x is the number of games they must play.
67=x42
What if anything did she do wrong?
(1 point)
-The first ratio should 642.
-This ratio equation was set up correctly.
-The 42 in the second ratio should be 49.
-The second ratio should be flipped.
Question 9
A)
Anwar has a problem that results in the following ratio:
3x2+x=53.
He solves the proportion using the steps below. Did he make an error? If so, which step and why?
Step # 3x2+x=53 Step taken
1 15x=6+3x Cross multiply
2 12x=6 Subtract 3x from both sides
3 x=12 Divide both sides by 12
(1 point)
-Anwar's solution process is correct.
-Anwar made a mistake in step 1 where he should have multiplied diagonally across the equals sign instead of straight across.
-The result of the division in step 3 is incorrect, and it should have resulted in x=2.
-In step 1, instead of cross multiplying, Anwar should have canceled out the x common to both the numerator and denominator in the ratio of the left side of the equation.
Question 11
A) Which of the following units is incommensurable with miles? Select the two correct answers.(1 point)
-yards
-grams
-meters
-inches
-acres
Question 12
A) What units of measure would be most descriptive for a cell phone manufacturer to use for the depth of its newest phone? (Depth is the vertical height of a phone that is resting on a table on its front or back).(1 point)
-millimeters
-micrometers
-inches
-centimeters
Question 13
A) Which are valid rearrangements of F=95C+32? Select the two correct answers.(1 point)
-F−32=95C
-C=95(F−32)
-F+95C+32=0
-C=59(F−32)
-95C−F=32
Question 14
A) Given V=60 volts of an outlet in a select country, and I=0.5 amps are being pulled to the 60 watt bulb, solve V=IR in terms of R, and substitute the given quantities.(1 point)
-R=240 ohms
-R=60 ohms
-R=30 ohms
-R=120 ohms
Question 15
A) Esmeralda and Genevieve are both planting square gardens. Esmeralda's garden is 25 square feet and Genevieve's is 4 square yards. Convert their garden sizes to the same units (feet) to determine who's garden has a larger area.(1 point)
-Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's
-Genevieve's garden is 12 square feet, and thus, has a smaller area than Esmeralda's
-Genevieve's garden is 25 square feet, and thus, has the exact same area as Esmeralda's
-Genevieve's garden is 16 square feet, and thus, has a smaller area than Esmeralda's
Question 16
A)
Gold has a density of 0.70 pounds per cubic inch and copper has a density of 8.96 grams per cubic centimeter. How much will 1 cubic foot of each metal weigh? 1 ft3 = 1728 in3, 1 ft3 = 28,316.8 cm3, and 1 lb=453.5 g.
Use the equation ρ=mV.
(1 point)
-The gold will weigh 12,096 pounds and the copper will weigh 4063.4 pounds.
-The gold will weigh 4063.4 pounds and the copper will weigh 12,096 pounds.
-The gold will weigh 559 pounds and the copper will weigh 1209.6 pounds.
-The gold will weigh 1209.6 pounds and the copper will weigh 559 pounds.
Question 17
A) Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilometers an hour, while a car will travel 65 miles per hour on average. Which mode of transportation will take less time? Note that 1 mi=1.6 km.(1 point)
-The car will take less time because it travels at a faster speed. The train will travel at 65mih while the car travels at 95 kmh1.6 kmmi=59.03 mih.
-The train will take less time because it travels at a faster speed. The train will travel at 95 kmh×1.6 kmmi=152 mih while the car travels at 65mih.
-The car will take less time because it travels at a faster speed. The train will travel at 95 kmh1.6 kmmi=59.03 mih while the car travels at 65mih.
-The train will take less time because it travels at a faster speed. The train will travel at 65mih while the car travels at 95 kmh×1.6 kmmi=152 mih.
please help me I suck at math!!!
Send answers please!
please
all of them im terrible at math 😭😭😭😭😭
answers?
please help
Hmmm. Homework dump?
No ideas on any of these?
For #1, did you actually solve the two equations? If so, then you will see that
-The steps are not the same. To solve for y, add 4 to both sides, and then divide both sides by 3. To solve for z, subtract 3 from both sides, and then divide both sides by −4.
Where do you get stuck on the others?