Year 7 Mathematics Algebra and Decimals Review

Comprehensive practice flashcards created from Chapter 2, Chapter 3, and Practice Assessment math worksheets covering algebra, formulas, equations, inequalities, decimals, and rounding.

The description 'Add 2 and $n$ then multiply by 3' is represented by the algebraic expression __________.

$$3(n + 2)$$

If Lara thinks of a number $x$, divides it by 3, and then subtracts 2, her final expression is __________.

$$\frac{x}{3} - 2$$

Evaluating the expression $3p + 9$ when $p = -4$ gives a value of __________.

$$-3$$

Evaluating the expression $\frac{x}{2} - y^2$ when $x = 24$ and $y = 5$ gives a value of __________.

$$-13$$

Using the formula $s = 3h + 7g$, the value of $s$ when $h = 7$ and $g = 9$ is __________.

$$84$$

Rearranging the formula $y = mx$ to make $x$ the subject yields $x =$ __________.

$$\frac{y}{m}$$

Expanding the brackets in the expression $-5(2x - 3y + 4z)$ results in __________.

$$-10x + 15y - 20z$$

Expanding and simplifying $u(3u + 7) - u(u - 2)$ yields __________.

$$2u^2 + 9u$$

Solving the equation $\frac{y}{3} - 8 = 2$ gives $y =$ __________.

$$30$$

Based on the provided diagram of the square, the calculated side length of the square is __________.

$$28\,\text{cm}$$

The linear equation derived from setting equal the adjacent sides of the given square is __________.

$$4(x + 3) = 2x + 20$$

Solving the equation $60 = 4(3n - 3)$ gives $n =$ __________.

$$6$$

Solving the linear equation $5x + 2(x + 2) = 25$ yields $x =$ __________.

$$3$$

For the inequality $-2 < y \le 4$, the complete list of possible integer values for $y$ is __________.

$$-1, 0, 1, 2, 3, 4$$

The inequality $x > 5$ is equivalent to $4x >$ __________.

$$20$$

Evaluating $248 \times 0.01$ results in __________.

$$2.48$$

Evaluating $6.84 \div 0.01$ results in __________.

$$684$$

Rounding $783$ to 1 significant figure gives __________.

$$800$$

Rounding $0.0894$ to 2 significant figures gives __________.

$$0.089$$

At a baseball match with 12,435 male and 9,475 female supporters, the total number of supporters rounded to 2 significant figures is __________.

$$22\,000$$

Estimating the value of $\frac{0.35 \times 679}{1.976}$ using 1 significant figure approximations yields __________.

$$140$$

Evaluating $17^3 - \sqrt{329}$ on a calculator and rounding the result to 5 significant figures gives __________.

$$4894.9$$

If the area of a rectangle is $6x^2 + 18x$ and its width is $3x$, the length expressed in terms of $x$ is __________.

$$2x + 6$$

If Riya receives $\$15$ per hour and a travel allowance of $\$4$ each day, the formula for total income $T$ over $d$ days working $h$ hours per day is $T =$ __________.

$$d(15h + 4)$$

If Arjun receives $\$14$ per hour plus a $\$5$ daily travel allowance, the total pay received in 4 days when working 9 hours per day is \__________.

$$524$$

A triangle has side lengths $3p + 4$, $p + 5$, and $p + 6$. If its perimeter is $70\,\text{m}$, the value of $p$ is __________.

$$11$$

A triangle has side lengths $3p + 2$, $2p + 8$, and $p + 6$. If its perimeter is $76\,\text{m}$, the linear equation representing this problem is __________.

$$6p + 16 = 76$$