Q1
Add: 7 10/11+5 4/11.
Q2
When c=−7, evaluate
4(9/4+5/7c)
and
4⋅9/4+4⋅5/7c
to show that
4(9/4+5/7c)=4⋅9/4+4⋅5/7c
Q3
Divide: −20/51÷40/−16.
Q4
Simplify ∣2(14−12)2∣3/2∣−|3−6|.
Q5
Graph the inequality x≤−5/2.
Q6
Divide, and write your answer in simplified form: 1 5/11÷5/7.
(Enter your answer as an improper fraction or whole number.)
Q7
Cherie works in retail and her weekly salary includes commission for the amount she sells. The equation S=400+0.15c models the relation between her weekly salary, S, in dollars and the amount of her sales, c, in dollars. Interpret the slope of the equation.
Ans:
The slope, 0.15 means that Cherie’s weekly salary increases by 0.15 of a dollar for each dollar in sales.
The slope, 400 means that Cherie’s weekly salary increases by 400 dollars for each dollar in sales.
The slope, 0.15 means that Cherie’s weekly salary increases by 1 dollar for each 0.15 of a dollar in sales.
The slope, 400 means that Cherie’s weekly salary increases by 1 dollar for each 400 dollars in sales.
Q8
Solve: −5(m−2)+23=13.
Q9
Simplify: 19a+44−19a.
Q10
The bookstore is selling a series of 4 books for $97.50. What is the unit price for one book? Round your answer to the nearest cent if necessary.
Q11
Evaluate m3−4m2−2m−3, when m=−1.
Q12
Translate and simplify: the product of −29 and the difference of x and y.
Q13
Use the commutative and/or associative properties to simplify 3/20⋅49/11⋅20/3.
Q14
Find the quotient: (−64u2v2+64uv2) ÷ (8uv)
Q15
A local road rises 14 feet for every 472 feet of highway. What is the slope of the highway?
Q16
Name the ordered pair of each point shown below in the rectangular coordinate system.
[Write your answer in the format (x,y) and do not add a space between the coordinates.]
Q17
One serving of oatmeal has 8 grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily amount of fiber? Round your answer to the nearest gram.
Q18
Use slopes and y-intercepts to determine if the lines −3x−4y=1 and x−4y=4 are parallel.
Ans:
Parallel
Not Parallel
Q19
Subtract: 18z/17−(−15z/17).
Q20
Graph the equation y=−2x/3−4 using the intercepts.
Note: The points cannot be moved off the axes.
Q21
Alice and Will are measuring a liquid solution using graduated cylinders. Alice uses 6.5liters of the liquid solution, and Will uses 4,750milliliters of the liquid solution. What is the ratio of Alice’s measurements to Will’s measurements? Enter your answer as a simplified fraction without units.
Hint: Convert Alice’s volume to milliliters.
Q22
Simplify c(z+7).
Q23
Solve: w−207=32.
Q24
Multiply. Write your answer in decimal form: (6×105)(2×10−4).
Q25
One 6oz juice box has 90 calories. How many calories are there in a 64oz jug of the juice? Round to the nearest calorie.
Q26
Multiply: (22/28)(−7/176).
Q27
Convert the mixed number 1 1/75 to an improper fraction.
Q28
Simplify: (3m5/5n)3.
Q29
Convert 1.439 to a percent.
Q30
Jackson has ten dollar bills and one dollar bills in his pocket. The number of ten dollar bills is five more than six times the number of one dollar bills. Let o represent the number of one dollar bills. Write an expression for the number of ten dollar bills
Q31
Connor’s temperature was 0.7 degrees higher last night than it was this morning. His temperature this morning was 101.2 degrees. What was his temperature last night?
Q32
Simplify the expression: 3÷0.3+(1.2)4−(0.2)2.
Q33
Find the slope of the line shown.
Q34
An individual lost 2 pounds the first week of their diet. Over the next three weeks, they lost 7 pounds, gained 1 pounds, and then lost 4 pounds. What was the change in their weight over the four weeks?
(Use a negative number to indicate that they lost weight.)
Q35
Solve: 3(5y+8)+20=−6(5y+7)−4.
Q36
Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?
Q37
Solve: −6x−11+7x−5=−16.
Q38
Add: 7 1/3+9 1/2.
(Enter your answer as a mixed number, whole number, or proper fraction. Any fractions should be in lowest terms.)
Q39
Translate and solve: 2 less than r is smaller than 26.
(Enter your answer using interval notation.)
Q40
Use slopes to determine if the lines 4x−5y=−2 and −5x+4y=−2 are perpendicular.
Ans:
Perpendicular
Not Perpendicular
Q41
Determine the degree of the polynomial −5×4−9×3−5x−3.
Q42
Simplify: (4x-8y5)(−4x-1y-3).
Q43
Solve: y+68=93.
Q44
Translate and solve using proportions: What number is 175% of 56?
Q45
Add or subtract: −9/20+17/30.
Enter your answer as a reduced fraction.
Q46
Graph the equation y=1 by plotting points.
Q47
Simplify: (3pq4)2 (6p6q)2
Q48
Multiply: (−1/2n4)(−3n5)
Q49
Simplify: [4/33] /[24/14a].
Q50
Find the equation of a line that contains the points (−1,−5) and (−4,8). Write the equation in slope-intercept form, using fractions when required.
Q1
Add: 7 10/11+5 4/11.
Ans: 13 3/11
Q2
When c=−7, evaluate
4(9/4+5/7c)
and
4⋅9/4+4⋅5/7c
to show that
4(9/4+5/7c)=4⋅9/4+4⋅5/7c
Ans:
4(9/4 + 5/7c) = -11, 4⋅9/4 + 4⋅5/7c = -11
Q3
Divide: −20/51÷40/−16.
Ans: 8/15
Q4
Simplify ∣2(14−12)2∣3/2∣−|3−6|.
Ans: 5
Q5
Graph the inequality x≤−5/2.
Ans:
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