Writing Expressions and Equations
Write an expression for the sum of a number ( x ) and 9.
( x + 9 )
If a number ( x ) is greater than 5, the inequality is?
(x > 5 )
( x + 3 = 10 )
( x = 7 )
( x - 3 > 2 )
( x > 5 )
Solve for ( y ) in the equation ( 3y + 4 = 16 ).
( y = 4 )
Write an equation for the triple of a number ( y ) equals 12.
( 3y = 12 )
If the sum of a number ( y ) and 3 is less than or equal to 10, the inequality is?
( y + 3 \leq 10 )
( 2x - 4 = 10 )
( x = 7 )
( 2x + 4 \leq 12 )
( x \leq 4 )
Solve for ( x ) in the equation ( 2x - 5 = 3x + 7 )
( x = -12 )
Write an expression for the total cost ( C ) if you buy ( n ) items at $5 each and pay a $10 service fee.
( C = 5n + 10 )
If three times a number ( z ) minus 2 is greater than 4, the inequality is?
( 3z - 2 > 4 )
( x^2 - 4x - 12 = 0 )
( x = -2 ) or ( x = 6 )
( 3(2x - 1) > 9 )
( x > 2 )
Solve for ( a ) in the equation ( \frac{b}{a} = c )
( a = \frac{b}{c} )
Write an equation for the perimeter ( P ) of a rectangle with length ( l ) and width ( w ).
( P = 2l + 2w )
If twice the sum of a number ( w ) and 4 is at least 20, the inequality is?
( 2(w + 4) \geq 20 ).
( 3x^2 + 6x - 9 = 0 )
( x = 1 ) or ( x = -3 )
( \frac{x+2}{3} - \frac{x-3}{2} < 1 )
( x < \frac{13}{5} )
Solve for ( w ) in the equation ( w^2 + w - 6 = 0 ).
( w = -3 ) or ( w = 2 ).
Write an equation for the volume ( V ) of a cylinder with radius ( r ) and height ( h ), using the formula for the area of a circle.
( V = \pi r^2 h )
If the square of a number ( v ) minus twice another number ( u ) is less than three times the product of ( v ) and ( u ), plus 6, the inequality is?
( v^2 - 2u < 3vu + 6 )
( x^3 - 6x^2 + 11x - 6 = 0 )
( x = 1 ), ( x = 2 ), or ( x = 3 )
( |2x - 5| \leq 7 )
( -1 \leq x \leq 6 )
Solve for ( z ) in the equation ( z^3 + 6z^2 + 11z + 6 = 0 ).
( z = -2 ) or ( z = -3 ).