Topic 1
What is the value of 1,392/24?
58
Two cities had low temperatures for the day of 10 and 5 degrees below zero. Write the temperature closest to zero as an integer.
-5
What is a prime number and give an example?
A number who only have two factors, 1 and
the number itself ; 5
Which value of x makes 3(x+6)-10=17 a true statement?
3
What is a composite number and give an example?
A number that has more than two factors; 8
You are making hats for presents. Each hat needs 2/3 yards of fabric. How many yards of fabric do you need to make 9 hats
6
The point (8/3,-6) is reflected across the y-axis. What are the coordinates of the reflected point?
(-8/3,-6)
Write 53 in expanded form and evaluate.
5x5x5 ; 125
Evaluate the expression 12n+10,400 when n=15.
10,580
The four rational numbers below are plotted on a horizontal number line. Which statement about the locations on the number line is true?
-4/9, 5/8, -5/9, 6/7
A. -4/9 is farthest to the left, and 5/8 is farthest to the right.
B. -5/9 is farthest to the left, and 5/8 is farthest to the right.
C. -4/9 is farthest to left, and 6/7 is farthest to the right.
D. -5/9 is farthest to the left, and 6/7 is farthest to the right.
D
4/3 divided by 1 1/12
1 3/13
Mia listed five rational numbers. Write an inequality that compares one of the fractions to one of the decimals. Then explain how the number line helps you decide which number is greater.
-0.5,74, 1.25, 0.75,-94
Sample answer:
-0.5<74; -0.5 is located to the left of 74 on the number line. It is the lesser value.
Water bottles are sold in cases of 24 and cost $1.25 per bottle. Each of 4 friends gets an equal share of water bottles from c cases of bottles. Write an expression to represent how much each friend must pay.
7.5c
Alexis wrote that 28-8=20. Then she wrote that 28-8+q=20-q. Are her equations balanced? Explain
No, SAMPLE: Alexis added q to one side of the equation but subtracted q from the other. The equations are not balanced.
Ethan has two rolls of rope. He measured them to be 24 feet and 36 feet. If he wants to cut them into several pieces of equal lengths, what would be the greatest possible length of each piece?
12
Naomi’s recipe for baked beans calls for 7 1/5 cups of kidney beans. Each can of kidney beans holds 1 4/5 cups. How many cans of kidney beans will Naomi use to make the recipe?
4 cans
Which statement about the temperature -10.2° F and -10.8° F is true?
-10.2° F < -10.8° F because -10.2° F is warmer than -10.8° F.
-10.2° F < -10.8° F because -10.2° F is colder than -10.8° F.
-10.2° F >-10.8 F because -10.2 F is warmer than -10.8° F.
-10.2° F >-10.8° F because -10.2° F is colder than -10.8° F.
3. -10.2° F >-10.8 F because -10.2 F is warmer than -10.8° F.
The same digits are used for the expressions 52 and 25 . Explain how to compare the values of the expressions.
52 = 5x5= 25;
25 = 2x2x2x2x2 = 32.
52 < 25
What is the value of x in the following equation?
x - 3/4 = 5 1/6
x= 5 11/12
Marissa bought 12.8 pounds of potatoes at $1.35 per pound. How much did Marissa spend for the potatoes?
$17.28; multiply 12.8 by $1.35
Which value of d would make the expression 9 1/3 divided by d/6 equivalent to a whole number?
A. 9, B. 7, C. 5, D. 3
B. 7
Which equations are true? Select all that apply.
A. -|1.52|=1.52
B. -|1.52|= -1.52
C. |-1.52|=1.52
D. |1.52|= -1.52
E. |-1.52|=|1.52|
B,C,E
Evaluate the expression (5.2 + 6.8)x - (25/5)x.
7x
Choose all the equations that are true if x=8.
A. (7/9)x=6 2/9
B. x+11.5=20.5
C. 23.42-x=15.42
D. 11x=88
E. x/48=6
A,C,D
At her health club, Lauren uses a treadmill every 2 days and the weight machines every 8 days. She used a treadmill on March 2 and will use the weight machines on March 8. Lauren says that the first time she will use both a treadmill and the weight machines in March is March 16 because the LCM of 2 and 8 is 16.
Does Lauren’s reasoning make sense? Use an example or a counterexample to explain your analysis.
No, Lauren´s reasoning does not make sense. The LCM is 8, not 16. So, March 8 will be the first time that she uses both the treadmill and weight weight machines.