8th
-
11th
grade

Mathematics, Science

39%

accuracy

1.1K

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William Browns

4 years

Mathematics, Science

8th -

11thgrade

PSAT MATH PRACTICE

William Browns

1.1K
plays

17 questions

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1. Multiple Choice
1 minute
1 pt
Which of the following is an equivalent form of the expression
$15x+24ax$
$39ax^2$
$39\left(a+2x\right)$
$\left(5+8a\ \right)x$
$\left(15+24a\right)x$
2. Multiple Choice
1 minute
1 pt
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 $t$ ?
$r=\frac{d}{t}$
$r=dt$
$r=\frac{t}{d}$
$r=d-t$
3. Multiple Choice
1 minute
1 pt
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)
4. Multiple Choice
1 minute
1 pt
Which of the following is a solution to the equation $2x^2+4x=3+3x^2$ ?

-1
0
3
6
5. Multiple Choice
1 minute
1 pt
-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
6. Multiple Choice
1 minute
1 pt
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
7. Multiple Choice
1 minute
1 pt
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
8. Multiple Choice
1 minute
1 pt
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)
9. Multiple Choice
1 minute
1 pt
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?

$270\le x\le280$
$4860\le x\le4870$
$4860\le x\le5040$
$5030\le x\le5040$
10. Multiple Choice
1 minute
1 pt
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
11. Multiple Choice
1 minute
1 pt
In the figure above, which of the following ratios has the same value as $\frac{AB}{BC}$

$\frac{BD}{DC}$
$\frac{BC}{AC}$
$\frac{AD}{BD}$
$\frac{DC}{BC}$
12. Multiple Choice
1 minute
1 pt
$\left(x^2y^3\right)^{\frac{1}{2}}\left(x^2y^3\right)^{\frac{1}{3}}=x^{\frac{a}{3}}y^{\frac{a}{2}}$

If the equation above, where a is a constant, is true for all positive values of x and y, what is the value of a?
2
3
5
6
13. Multiple Choice
1 minute
1 pt
If the equation y=(x-6)(x+12) is graphed in the xy-plane, what is the x-coordinate of the parabola's vertex?
-6
-3
3
6
14. Fill in the Blank
1 minute
1 pt
21x+14=7(3x+a)

In the equation above, a is a constant. For what value of a does the equation have an infinite number of solutions
15. Fill in the Blank
1 minute
1 pt
Juliene practiced her dance routine for twice as many minutes on Monday as she did on Tuesday. She practiced her routine those two days for a total of 2 hours and 15 minutes. For how many minutes did Juliene practice her dance routine on Monday?
16. Fill in the Blank
1 minute
1 pt
In the expression below, a is an integer. $12x^2+ax-20$ If 3x+4 is a factor of the expression above, what is the value of a?
17. Fill in the Blank
1 minute
1 pt
(ax+by)(cx-dy)

In the expression above, a, b, c, and d are non-zero constants and ad=bc. If ac=18 and bd=50, what is the value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected?
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PSAT MATH PRACTICE

8th - 11thgrade

Mathematics, Science

Mathematics, Science

8th -

11thgrade

PSAT MATH PRACTICE

1.1K plays

17 questions

Introducing new Paper mode

8th
-
11th
grade

1.1K
plays