SAT Math Prep

What is $\frac{9}{57}$ expressed in the lowest terms? 

•  $\frac{1}{57}$  

•  $\frac{1}{9}$  

•  $\frac{3}{19}$  

•  $\frac{3}{11}$  

•  $\frac{9}{19}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

If $7x-5x=12-8$ , then x=?

• 0

• 1

• 2

• 3

• 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

If $\frac{2x}{3}+\frac{x}{4}+4=\frac{x}{6}+10$  , then x=?

•  $\frac{11}{12}$  

•  $\frac{3}{2}$  

• 5

• 8

• 20

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Lisa has 2 red dresses, 3 green dresses, and x blue dresses hanging in her closet. If Lisa chooses one dress at random, the probability that Lisa will choose a red dress is 25%. How many blue dresses does Lisa have?

• 1

• 2

• 3

• 4

• 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

The recommended daily calcium intake for a 20-year old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk (m) and cups of juice (j) a 20-year old could drink a day to MEET or EXCEED the recommended daily calcium intake from these drinks alone?

•  $299m+261j\ge1,000$  

•  $299m+261j>1,000$  

•  $\frac{299}{m}+\frac{261}{j}\ge1,000$  

•  $\frac{299}{m}+\frac{261}{j}>1,000$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

CCSS.HSA.SSE.A.1

The first metacarpal bone is located in the wrist. The scatterplot above shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown.

How many of the nine people have an actual height that differes by more than 3 centimeters from the height predicted by the line of best fit?

• 2

• 4

• 6

• 9

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

The first metacarpal bone is located in the wrist. The scatterplot above shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown.

Which of the following is the best interpretation of the slope of the line of best fit in the context of this problem?

• The predicted height increase in centimeters for one centimeter increase in the first metacarphal bone.

• The predicted first metacarpal bone increase in centimeters for every centimeter increase in height.

• The predicted height in centimeters of a person with a first metacarpal bone length of 0 centimeters.

• The predicted first metacarpal bone length in centimeters for a person with a height of 0 centimeters.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Which of the following represents Aaron's total charge, in dollars, for staying x nights?

• $\left(99.95+0.08x\right)+5$

• $1.08\left(99.95x\right)+5$

• $1.08\left(99.95x+5\right)$

• $1.08\left(99.95+5\right)x$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

 $x^2+y^2=5$  
 $y=x^2-3$  
 $x-y=1$  
A system of 3 equations and their graphs in the xy-plan are shown above. How many solutions does the system have?

• One

• Two

• Three

• Four

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

A company's manager estimated that the cost of C, in dollars, of producing n items is $C=7n+350$ 

The company sells each item for $12. The company makes a profit when the total income from selling a quantity of items is greater than the total cost of producing that quantity of items. Which of the following inequalities gives all possible values of n for which the manager estimates that the company will make a profit?

•  $n<70$  

•  $n<84$  

•  $n>70$  

•  $n>84$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1