What is an algebraic expression? — Numbers, variables, and operations without an equal sign.An algebraic expression contains numbers, variables, and operations but has no equal sign. Adding an equal sign makes it an equation.
In the expression 5x + 3, what is the variable? — x.A variable is a letter that represents an unknown value. In 5x + 3, the variable is x.
Evaluate 3x when x = 7. — 21.3x means 3 times x. 3 × 7 = 21.
What does x³ mean? — x × x × x.An exponent tells how many times to use the base as a factor. x³ = x × x × x.
What is 2³? — 8.2³ = 2 × 2 × 2 = 8.
Evaluate x + 9 when x = 6. — 15.Substitute: 6 + 9 = 15.
Evaluate 5a − b when a = 4 and b = 3. — 17.5(4) − 3 = 20 − 3 = 17.
Which is an equation (not just an expression)? — 2x + 5 = 11.An equation has an equal sign (=). "2x + 5 = 11" has an equal sign, making it an equation.
What is the value of 4³? — 64.4³ = 4 × 4 × 4 = 64.
What is the goal when solving an equation for a variable? — Isolate the variable on one side.Solving means isolating the variable — getting it alone on one side of the equation using inverse operations.
What is the inverse operation of addition? — Subtraction.Inverse operations undo each other. The inverse of addition is subtraction (and vice versa).
Solve: x + 7 = 15 — x = 8.Subtract 7 from both sides: x + 7 − 7 = 15 − 7 → x = 8.
Solve: 3x = 21 — x = 7.Divide both sides by 3: x = 21 ÷ 3 = 7.
Solve: y − 4 = 10 — y = 14.Add 4 to both sides: y = 10 + 4 = 14.
Solve: x/5 = 9 — x = 45.Multiply both sides by 5: x = 9 × 5 = 45.
What symbol is used for "less than or equal to" in an inequality? — ≤.The symbol ≤ means "less than or equal to." It includes the case where both sides are equal.
Which value satisfies the inequality x > 5? — 6.x > 5 means x must be strictly greater than 5. Only 6 works from the choices.
The INDEPENDENT variable is the one that: — You choose or control (the input).The independent variable is the INPUT — the one you choose or control. The other variable depends on it.
The DEPENDENT variable is the one that: — Changes based on the independent variable.The dependent variable is the OUTPUT — its value DEPENDS on the independent variable.
In "y = 5x", which is the independent variable? — x.x is the independent variable (input), and y depends on x (output). y = 5x means output = 5 × input.
A plant grows 2 cm per day. Days passed (d) determines height (h). The equation is: — h = 2d.Height DEPENDS on days: h = 2d. Days (d) is independent; height (h) is dependent.
On a graph, the independent variable is plotted on the: — x-axis (horizontal).By convention, the INDEPENDENT variable (input) goes on the x-axis (horizontal).
A taxi costs $3 per mile. If you ride 4 miles, the cost is: — $12.C = 3 × miles = 3 × 4 = $12. Miles is independent; cost is dependent.
The relationship y = 7x is PROPORTIONAL because: — y/x = 7 (a constant ratio).A proportional relationship has a constant ratio y/x. Here y/x = 7 always — a constant ratio.
A store sells notebooks for $4 each. The total cost C for n notebooks is: — C = 4n.Total cost = price per item × number of items = 4n.