PSAT MATH PRACTICE

Which of the following is an equivalent form of the expression

 $15x+24ax$  

•  $39ax^2$  

•  $39\left(a+2x\right)$  

•  $\left(5+8a\ \right)x$  

•  $\left(15+24a\right)x$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The formula

 $d=rt$  is used to calculate the distance an object travels over a period of time,  $t$  , at a constant rate,  $r$ . Based on this formula, what is the rate, 

 $r$  , in terms of  $d$  and  $t$  ?

•  $r=\frac{d}{t}$  

•  $r=dt$  

•  $r=\frac{t}{d}$  

•  $r=d-t$  

Tags

CCSS.HSA.CED.A.4

Which of the following ordered pairs $\left(x,y\right)$ satisfies both equations  $y=x^2+3x-4$  and  $x=y-4$  ? 

• (0,-4)

• (2,6)

• (3,14)

• (5,9)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Which of the following is a solution to the equation $2x^2+4x=3+3x^2$  ?

• -1

• 0

• 3

• 6

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

-3x-4y=20
    x-10y=16

If (x,y) is the solution to the system of equations above, what is the value of x?

• -14

• -12

• -4

• 16

Tags

CCSS.HSA.REI.C.6

The equation y=36 + 18x models the relationship between the height y, in inches, of a typical golden delicious apple tree and the number of years, x, after it was planted. If the equation is graphed in the xy-plane, what is indicated by the y-intercept of the graph?

• The age, in years, of a typical apple tree when it is planted

• The height, in inches, of a typical apple tree when it is planted

• The number of years it takes a typical apple tree to grow

• The number of inches a typical apple tree grows each year

Tags

CCSS.HSS.ID.C.7

Giovanni wants to buy shirts that cost $19.40 each and sweaters that cost $24.80 each. An 8% sales tax will be applied to the entire purchase. If Giovanni buys 2 shirts, which equation relates the number of sweaters purchased, p, and the total cost in dollars, y?

• 1.08(38.80+24.80p)=y

• 38.80+24.80p=0.92y

• 38.80+24.80p=1.08y

• 0.92(38.80+24.80p)=y

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

A line is graphed in the xy-plane. If the line has a positive slope and a negative y-intercept, which of the following points cannot lie on the line?

• (-3,-3)

• (-3,3)

• (3,-3)

• (3,3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

A parachute design uses 18 separate pieces of rope. Each piece of rope must be at least 270 centimeters and no more than 280 centimeters long. What inequality represents all possible values of the total length of rope x, in centimeters, needed for the parachute?

• 
  

  $270\le x\le280$
  

• $4860\le x\le4870$

• $4860\le x\le5040$

• $5030\le x\le5040$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

A carpenter has $60 with which to buy supplies. The carpenter needs to buy both nails and screws. Nails cost $12.99 per box, and screws cost $14.99 per box. If n represents the number of boxes of nails and s represents the number of boxes of screws, which of the following systems of inequalities models this situation?

• {12.99n+14.99s $\ge$ 60
  {n+s $\le$ 1

• {12.99n+14.99s $\le$ 60
  
  {n+s $\le$ 1

• {12.99n+14.99s $\ge$ 60
  
  {n $\ge$ 1
  {s $\ge$ 1

• {12.99n+14.99s $\le$ 60
  
  {n $\ge$ 1
  
  {s $\ge$ 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3