Equations With One Variable - SAT Math
Card 1 of 27
What is the formula for linear growth?
What is the formula for linear growth?
Tap to reveal answer
$y = mx + b$. Standard form where $m$ is slope and $b$ is y-intercept.
$y = mx + b$. Standard form where $m$ is slope and $b$ is y-intercept.
← Didn't Know|Knew It →
What is the formula for exponential growth?
What is the formula for exponential growth?
Tap to reveal answer
$y = a(1 + r)^t$. Where $a$ is initial value, $r$ is growth rate, $t$ is time.
$y = a(1 + r)^t$. Where $a$ is initial value, $r$ is growth rate, $t$ is time.
← Didn't Know|Knew It →
Identify the growth type: $y = 5(1.08)^t$.
Identify the growth type: $y = 5(1.08)^t$.
Tap to reveal answer
Exponential growth. Base 1.08 > 1 indicates growth with 8% rate.
Exponential growth. Base 1.08 > 1 indicates growth with 8% rate.
← Didn't Know|Knew It →
Which function represents exponential decay?
Which function represents exponential decay?
Tap to reveal answer
$y = a(1 - r)^t$. Uses $(1-r)$ where $0 < (1-r) < 1$ for decay.
$y = a(1 - r)^t$. Uses $(1-r)$ where $0 < (1-r) < 1$ for decay.
← Didn't Know|Knew It →
Identify the growth type: $y = 3x + 2$.
Identify the growth type: $y = 3x + 2$.
Tap to reveal answer
Linear growth. Has constant slope of 3 and y-intercept of 2.
Linear growth. Has constant slope of 3 and y-intercept of 2.
← Didn't Know|Knew It →
What is the first step to solve $3(x - 2) = 12$?
What is the first step to solve $3(x - 2) = 12$?
Tap to reveal answer
Distribute to get $3x - 6 = 12$. Apply the distributive property to remove parentheses.
Distribute to get $3x - 6 = 12$. Apply the distributive property to remove parentheses.
← Didn't Know|Knew It →
Identify the inverse operation to solve $x - 5 = 10$.
Identify the inverse operation to solve $x - 5 = 10$.
Tap to reveal answer
Addition. Add 5 to both sides to isolate x.
Addition. Add 5 to both sides to isolate x.
← Didn't Know|Knew It →
State the property used to solve $x/3 = 4$.
State the property used to solve $x/3 = 4$.
Tap to reveal answer
Multiplication. Multiply both sides by 3 to eliminate the fraction.
Multiplication. Multiply both sides by 3 to eliminate the fraction.
← Didn't Know|Knew It →
What is the solution to the equation $2x + 3 = 11$?
What is the solution to the equation $2x + 3 = 11$?
Tap to reveal answer
$x = 4$. Subtract 3 from both sides, then divide by 2.
$x = 4$. Subtract 3 from both sides, then divide by 2.
← Didn't Know|Knew It →
What is the solution to $2x + 3 = 7$?
What is the solution to $2x + 3 = 7$?
Tap to reveal answer
$x = 2$. Subtract 3, then divide by 2.
$x = 2$. Subtract 3, then divide by 2.
← Didn't Know|Knew It →
What is the multiplicative identity property?
What is the multiplicative identity property?
Tap to reveal answer
For any number $a$, $a \times 1 = a$. Multiplying by 1 leaves any number unchanged.
For any number $a$, $a \times 1 = a$. Multiplying by 1 leaves any number unchanged.
← Didn't Know|Knew It →
What is the solution to $5 - 2x = 1$?
What is the solution to $5 - 2x = 1$?
Tap to reveal answer
$x = 2$. Subtract 5 from both sides, then divide by -2.
$x = 2$. Subtract 5 from both sides, then divide by -2.
← Didn't Know|Knew It →
State the commutative property of addition.
State the commutative property of addition.
Tap to reveal answer
$a + b = b + a$. Order of addends doesn't affect the sum.
$a + b = b + a$. Order of addends doesn't affect the sum.
← Didn't Know|Knew It →
Find the value of $x$ in $x/3 = 9$.
Find the value of $x$ in $x/3 = 9$.
Tap to reveal answer
$x = 27$. Multiply both sides by 3.
$x = 27$. Multiply both sides by 3.
← Didn't Know|Knew It →
Find $x$ in the equation $6 = x + 2$.
Find $x$ in the equation $6 = x + 2$.
Tap to reveal answer
$x = 4$. Subtract 2 from both sides.
$x = 4$. Subtract 2 from both sides.
← Didn't Know|Knew It →
What is the result of solving $x - 5 = -3$?
What is the result of solving $x - 5 = -3$?
Tap to reveal answer
$x = 2$. Add 5 to both sides.
$x = 2$. Add 5 to both sides.
← Didn't Know|Knew It →
What is the associative property of multiplication?
What is the associative property of multiplication?
Tap to reveal answer
$(ab)c = a(bc)$. Grouping factors doesn't change the product.
$(ab)c = a(bc)$. Grouping factors doesn't change the product.
← Didn't Know|Knew It →
Solve for $x$ if $x + 8 = 15$.
Solve for $x$ if $x + 8 = 15$.
Tap to reveal answer
$x = 7$. Subtract 8 from both sides.
$x = 7$. Subtract 8 from both sides.
← Didn't Know|Knew It →
What is the definition of an equation?
What is the definition of an equation?
Tap to reveal answer
A statement that two expressions are equal. Shows two expressions have the same value.
A statement that two expressions are equal. Shows two expressions have the same value.
← Didn't Know|Knew It →
What operation is used to isolate a variable?
What operation is used to isolate a variable?
Tap to reveal answer
Use inverse operations. Apply the opposite operation to both sides.
Use inverse operations. Apply the opposite operation to both sides.
← Didn't Know|Knew It →
Solve for $x$ in the equation $10 = 3x + 1$.
Solve for $x$ in the equation $10 = 3x + 1$.
Tap to reveal answer
$x = 3$. Subtract 1, then divide by 3.
$x = 3$. Subtract 1, then divide by 3.
← Didn't Know|Knew It →
What is a linear equation?
What is a linear equation?
Tap to reveal answer
An equation of the form $ax + b = 0$. One variable raised to the first power.
An equation of the form $ax + b = 0$. One variable raised to the first power.
← Didn't Know|Knew It →
Solve for $x$ in the equation $5x = 20$.
Solve for $x$ in the equation $5x = 20$.
Tap to reveal answer
$x = 4$. Divide both sides by 5.
$x = 4$. Divide both sides by 5.
← Didn't Know|Knew It →
Solve the equation $7 - x = 4$.
Solve the equation $7 - x = 4$.
Tap to reveal answer
$x = 3$. Subtract 7 from both sides, then multiply by -1.
$x = 3$. Subtract 7 from both sides, then multiply by -1.
← Didn't Know|Knew It →
What is the additive inverse property?
What is the additive inverse property?
Tap to reveal answer
For any number $a$, $a + (-a) = 0$. Any number plus its opposite equals zero.
For any number $a$, $a + (-a) = 0$. Any number plus its opposite equals zero.
← Didn't Know|Knew It →
Identify the solution for $3x - 4 = 2$.
Identify the solution for $3x - 4 = 2$.
Tap to reveal answer
$x = 2$. Add 4, then divide by 3.
$x = 2$. Add 4, then divide by 3.
← Didn't Know|Knew It →
What is the solution to the equation $x + 5 = 12$?
What is the solution to the equation $x + 5 = 12$?
Tap to reveal answer
$x = 7$. Subtract 5 from both sides to isolate x.
$x = 7$. Subtract 5 from both sides to isolate x.
← Didn't Know|Knew It →