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Equations such as 3x + 4 = 19 and 3(x + 2) = 21 are grade 7 work in the Common Core, which asks for both forms to be solved fluently. The whole-number sheet mixes 3x + 4, 3x − 4 and x/4 + 2; the parentheses sheet has 3(x + 2) = 21; the harder sheet adds negative numbers and letters other than x. One-step and two-step mixed helps with the move from one to the other, and its letter changes too.

Solving a two-step equation

Undo the adding or subtracting first, then the multiplying or dividing, doing the same to both sides each time. For 3x + 4 = 19, subtract 4 from both sides, 3x = 15, then divide both sides by 3: x = 5. For 3(x + 2) = 21, divide both sides by 3 first, x + 2 = 7, then subtract 2: x = 5. Multiplying out the parentheses first, 3x + 6 = 21, gives the same answer; the key shows the shorter way.

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Counting money worksheets

Count the coins and write the total in cents: pennies, nickels, dimes and quarters drawn at their real size, six groups a page, totals under a dollar, with the answers on the key. Leave out the quarters for an easier sheet. New coins each time.

Number bonds worksheets

Number bonds to 10: the whole in the top circle, its two parts below, and one of the three left empty to fill in. Choose the largest whole, up to 100, and how many bonds; the answer key is on the last page.

Place value worksheets

Place value practice with numbers of 2 to 5 digits: half the questions ask what one digit is worth, as the 4 in 3,482 is worth 400, and half ask for the number in expanded form, as 3,000 + 400 + 80 + 2. The answer key is on the last page.

Measuring length worksheets

Six lines drawn at their true length, to measure with a ruler from the left end and write down to the nearest half inch, then two lines to draw at a given length, with a ruler to cut out at the foot of the page and the answers on page 2. Choose whole, half, quarter or eighth inches, or whole or half centimetres.

Measuring angles worksheets

Six angles a page, drawn at their true size from 10 to 170 degrees in steps of 5, to measure with a protractor and circle as acute, right or obtuse, with the answers on the key. One arm lies flat to start, pointing left or right; on the harder sheet both arms turn. New angles each time.

2D shapes worksheets

Eight flat shapes a page to name, and to count the sides and corners of: triangle, square, rectangle, rhombus, trapezoid, pentagon, hexagon, octagon, circle and oval, with the answers on the key. On the harder sheet each shape is turned and the triangles and rectangles change shape, so the name rests on the sides. New shapes each time.

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