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Questions and Answers
Solve for $x$: $3x + 7 = 22$.
Solve for $x$: $3x + 7 = 22$.
$x = 5$
If $a = 4$ and $b = -3$, evaluate the expression $2a - b$.
If $a = 4$ and $b = -3$, evaluate the expression $2a - b$.
11
Simplify the expression: $5(x + 2) - 3x$.
Simplify the expression: $5(x + 2) - 3x$.
$2x + 10$
Solve for $y$: $\frac{y}{4} - 2 = 6$.
Solve for $y$: $\frac{y}{4} - 2 = 6$.
If $f(x) = x^2 - 3x + 1$, find $f(2)$.
If $f(x) = x^2 - 3x + 1$, find $f(2)$.
Solve the inequality: $2x + 5 > 11$.
Solve the inequality: $2x + 5 > 11$.
If $a=4$, $b=6$, and $c=2$, what is the value of $\frac{ab}{c}$?
If $a=4$, $b=6$, and $c=2$, what is the value of $\frac{ab}{c}$?
Solve for $m$: $m - 15 = 28$.
Solve for $m$: $m - 15 = 28$.
Evaluate $5(n + 3)$ when $n = 7$.
Evaluate $5(n + 3)$ when $n = 7$.
What value of $p$ satisfies the equation $\frac{p}{3} + 5 = 9$?
What value of $p$ satisfies the equation $\frac{p}{3} + 5 = 9$?
If $x = 5$ and $y = -2$, find the value of $x^2 + y$.
If $x = 5$ and $y = -2$, find the value of $x^2 + y$.
Solve for $w$: $7w = 49$.
Solve for $w$: $7w = 49$.
Evaluate $k - 8$ when $k = 30$.
Evaluate $k - 8$ when $k = 30$.
Find the value of $z$ if $3z + 5 = 26$.
Find the value of $z$ if $3z + 5 = 26$.
What is the value of $6a - 4$ when $a = 5$?
What is the value of $6a - 4$ when $a = 5$?
If $a = 2$ and $b = 3$, evaluate $\frac{2a + b}{5}$.
If $a = 2$ and $b = 3$, evaluate $\frac{2a + b}{5}$.
Solve $14 + x = 31$ for $x$.
Solve $14 + x = 31$ for $x$.
What is the value of $y$ in the equation $y - 9 = 11$?
What is the value of $y$ in the equation $y - 9 = 11$?
Find the value of the expression $3c + d$ if $c = 4$ and $d = -2$.
Find the value of the expression $3c + d$ if $c = 4$ and $d = -2$.
What value of $x$ makes the equation $5x = 65$ true?
What value of $x$ makes the equation $5x = 65$ true?
Flashcards
Solve for 'b'
Solve for 'b'
Solving for 'b' in the equation 4a + 9 = b when a = 5 involves substituting the value of 'a' into the equation and simplifying to find 'b'.
Solving: K - 27 = 45 for K
Solving: K - 27 = 45 for K
Isolate the variable by performing the inverse operation on both sides of the equation. Adding 27 to both sides cancels out the subtraction, allowing us to solve for 'K'.
Solve: ab/c
Solve: ab/c
To solve ab/c when a = 6, b = 10, and c = 5, substitute the given values into the expression, so (6*10)/5. Then, calculate the numerator and divide by the denominator.
Solve: (2a+b)/c
Solve: (2a+b)/c
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Study Notes
- Date: 18th April 2025
More Expressions
- Algebraic expressions can be solved by substituting the given values into the equation
- Follow the order of operations to find the solutions
Expression A
- Given expression: 4a + 9 = b
- Given value: a = 5
- Substitute 5 for a: (4 x 5) + 9 = b
- Multiply 4 by 5: 20 + 9 = b
- Therefore, b = 29
Expression B
- Given expression: K - 27 = 45
- To isolate K, add 27 to both sides of the equation: K = 45 + 27
- Therefore, K = 72
Expression C
- Given expression: ab/c
- Given values: a = 6, b = 10, c = 5
- Substitute the values: (6 x 10) / 5
- Multiply 6 by 10: 60 / 5
- Therefore, the result is 12
Expression D
- Given expression: (2a + b) / c
- Given values: a = 3, b = 8, c = 2
- Substitute the values: (2 x 3 + 8) / 2
- Multiply 2 by 3: (6 + 8) / 2
- Add 6 and 8: 14 / 2
- Therefore, the result is 7
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