Digital SAT Practice #27

Front

What is the percentage of dogs adopted if 70% of 200 pets were dogs?

Back

140

Tags

CCSS.6.RP.A.3C

Front

If the expression \( \frac{3}{y+c} \) is equivalent to \( \frac{15}{5y+30} \), what is the value of c?

Back

6

Tags

CCSS.HSA.APR.D.6

Front

In the system of equations \( y=5kx^2+2x+3 \) and \( \frac{y}{10}=-x \), what value of k results in exactly one solution?

Back

2.4

Tags

CCSS.HSA.REI.C.7

Front

What equation represents the relationship between a and b if a is half of b?

Back

\( a=\frac{1}{2}b \)

Tags

CCSS.6.EE.C.9

Front

If the linear function \( f(x)=-\frac{1}{5}x-3 \) is perpendicular to g(x), what is the value of g(2) if g(0)=0?

Back

10

Tags

CCSS.HSF.IF.A.1

Front

How do you calculate the percentage of a total?

Back

To calculate the percentage of a total, divide the part by the total and multiply by 100.

Front

What is the formula for finding the slope of a line given two points?

Back

The slope \( m \) is calculated as \( m=\frac{y_2-y_1}{x_2-x_1} \).

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular in terms of their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate it on one side of the equation using inverse operations.

Tags

CCSS.7.EE.B.4A

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is \( Ax + By = C \), where A, B, and C are integers.